Entry Answer

The mode settings control the way the TI-84 Plus interprets expressions and displays answers. If an answer, such as a list or matrix, is too long to display entirely on one line, an ellipsis (.) is displayed to the right or left. Press ~ and | to display the answer.
Returning to the Home Screen To return to the home screen from any other screen, press y 5.
Busy Indicator When the TI-84 Plus is calculating or graphing, a vertical moving line is displayed as a busy indicator in the top-right corner of the screen. When you pause a graph or a program, the busy indicator becomes a vertical moving dotted line. Display Cursors In most cases, the appearance of the cursor indicates what will happen when you press the next key or select the next menu item to be pasted as a character.
Cursor Entry Insert Second Alpha Full Appearance Effect of Next Keystroke A character is entered at the cursor; any existing character is overwritten A character is inserted in front of the cursor location A 2nd character (blue on the keyboard) is entered or a 2nd operation is executed An alpha character (green on the keyboard) is entered or SOLVE is executed

Solid rectangle

Underline __

Reverse arrow

Reverse A
Checkerboard rectangle No entry; the maximum characters are entered at a prompt or memory is full
If you press during an insertion, the cursor becomes an underlined A (A). If you press y during an insertion, the underlined cursor becomes an underlined # (#). Graphs and editors sometimes display additional cursors, which are described in other chapters.
Interchangeable Faceplates
The TI-84 Plus Silver Edition has interchangeable faceplates that let you customize the appearance of your unit. To purchase additional faceplates, refer to the TI Online Store at education.ti.com. Removing a Faceplate 1. Lift the tab at the bottom edge of the faceplate away from the TI-84 Plus Silver Edition case. 2. Carefully lift the faceplate away from the unit until it releases. Be careful not to damage the faceplate or the keyboard.

4. Press p to display the window variables. Press 4 y B to increase the value of qmax to 4p.
5. Press q 5 to select 5:ZSquare and plot the graph.
6. Repeat steps 2 through 5 with new values for the variables A and B in the polar equation r1=Asin(Bq). Observe how the new values affect the graph.
Defining and Displaying Polar Graphs
TI-84 Plus Graphing Mode Similarities The steps for defining a polar graph are similar to the steps for defining a function graph. Chapter 5 assumes that you are familiar with Chapter 3: Function Graphing. Chapter 5 details aspects of polar graphing that differ from function graphing.
Setting Polar Graphing Mode To display the mode screen, press z. To graph polar equations, you must select Pol graphing mode before you enter values for the window variables and before you enter polar equations. Displaying the Polar Y= Editor After selecting Pol graphing mode, press o to display the polar Y= editor.
In this editor, you can enter and display up to six polar equations, r1 through r6. Each is defined in terms of the independent variable q. Selecting Graph Styles The icons to the left of r1 through r6 represent the graph style of each polar equation. The default in Pol graphing mode is (line), which connects plotted points. Line, (thick), (path), (animate), and (dot) styles are available for polar graphing.
Defining and Editing Polar Equations To define or edit a polar equation, follow the steps in Chapter 3 for defining a function or editing a function. The independent variable in a polar equation is q. In Pol graphing mode, you can enter the polar variable q in either of two ways. Press. Press [q].
Selecting and Deselecting Polar Equations The TI-84 Plus graphs only the selected polar equations. In the Y= editor, a polar equation is selected when the = sign is highlighted. You may select any or all of the equations. To change the selection status, move the cursor onto the = sign, and then press. Setting Window Variables To display the window variable values, press p. These variables define the viewing window. The values below are defaults for Pol graphing in Radian angle mode. qmin=0 qmax=6.2831853. qstep=.1308996. Xmin=L10
Smallest q value to evaluate Largest q value to evaluate (2p) Increment between q values (p24) Smallest X value to be displayed
Xmax=10 Xscl=1 Ymin=L10 Ymax=10 Yscl=1
Largest X value to be displayed Spacing between the X tick marks Smallest Y value to be displayed Largest Y value to be displayed Spacing between the Y tick marks
Note: To ensure that sufficient points are plotted, you may want to change the q window
variables. Setting the Graph Format To display the current graph format settings, press y. Chapter 3 describes the format settings in detail. The other graphing modes share these format settings. Displaying a Graph When you press s, the TI-84 Plus plots the selected polar equations. It evaluates R for each value of q (from qmin to qmax in intervals of qstep) and then plots each point. The window variables define the viewing window. As the graph is plotted, X, Y, R, and q are updated. Smart Graph applies to polar graphs.

Note: You also can select a variable from the PICTURE secondary menu ( 4). The variable is pasted next to StorePic.
3. Press to display the current graph and store the picture.
Recalling Graph Pictures (Pic)
Recalling a Graph Picture To recall a graph picture, follow these steps.
Chapter 8: Draw Instructions 206
1. Select 2:RecallPic from the DRAW STO menu. RecallPic is pasted to the current cursor location. 2. Enter the number (from 1 to 9, or 0) of the picture variable from which you want to recall a picture. For example, if you enter 3, the TI-84 Plus will recall the picture stored to Pic3.
Note: You also can select a variable from the PICTURE secondary menu ( 4). The variable is pasted next to RecallPic.
3. Press to display the current graph with the picture superimposed on it.
Note: Pictures are drawings. You cannot trace a curve that is part of a picture.
Deleting a Graph Picture To delete graph pictures from memory, use the MEMORY MANAGEMENT/DELETE secondary menu (Chapter 18).
Storing Graph Databases (GDB)
What Is a Graph Database? A graph database (GDB) contains the set of elements that defines a particular graph. You can recreate the graph from these elements. You can store up to 10 GDBs in variables GDB1 through GDB9, or GDB0 and recall them to recreate graphs.
A GDB stores five elements of a graph. Graphing mode Window variables Format settings All functions in the Y= editor and the selection status of each Graph style for each Y= function
GDBs do not contain drawn items or stat plot definitions. Storing a Graph Database To store a graph database, follow these steps. 1. Select 3:StoreGDB from the DRAW STO menu. StoreGDB is pasted to the current cursor location. 2. Enter the number (from 1 to 9, or 0) of the GDB variable to which you want to store the graph database. For example, if you enter 7, the TI-84 Plus will store the GDB to GDB7.
Note: You also can select a variable from the GDB secondary menu ( 3). The variable is pasted next to StoreGDB.
3. Press to store the current database to the specified GDB variable.
Recalling Graph Databases (GDB)
Recalling a Graph Database
CAUTION: When you recall a GDB, it replaces all existing Y= functions. Consider storing
the current Y= functions to another database before recalling a stored GDB. To recall a graph database, follow these steps. 1. Select 4:RecallGDB from the DRAW STO menu. RecallGDB is pasted to the current cursor location. 2. Enter the number (from 1 to 9, or 0) of the GDB variable from which you want to recall a GDB. For example, if you enter 7, the TI-84 Plus will recall the GDB stored to GDB7.
Note: You also can select a variable from the GDB secondary menu ( 3). The variable is pasted next to RecallGDB.
3. Press to replace the current GDB with the recalled GDB. The new graph is not plotted. The TI-84 Plus changes the graphing mode automatically, if necessary. Deleting a Graph Database To delete a GDB from memory, use the MEMORY MANAGEMENT/DELETE secondary menu (Chapter 18).

With one listname, SortA( and SortD( sort the elements in listname and update the list in memory. With two or more lists, SortA( and SortD( sort keylistname, and then sort each dependlist by placing its elements in the same order as the corresponding elements in
keylistname. This lets you sort two-variable data on X and keep the data pairs together.
All lists must have the same dimension. The sorted lists are updated in memory.
SortA(listname) SortD(listname) SortA(keylistname,dependlist1[,dependlist2,.,dependlist n]) SortD(keylistname,dependlist1[,dependlist2,.,dependlist n])
Note: SortA( and SortD( are the same as SortA( and SortD( on the LIST OPS menu.

ClrList

ClrList clears (deletes) from memory the elements of one or more listnames. ClrList also detaches any formula attached to a listname. ClrList listname1,listname2,.,listname n Note: To clear from memory all elements of all list names, use ClrAllLists (Chapter 18).
SetUpEditor With SetUpEditor you can set up the stat list editor to display one or more listnames in the order that you specify. You can specify zero to 20 listnames. Additionally, if you want to use listnames which happen to be archived, the SetUp Editor will automatically unarchive the listnames and place them in the stat list editor at the same time.
SetUpEditor [listname1,listname2,.,listname n] SetUpEditor with one to 20 listnames removes all list names from the stat list editor and then stores listnames in the stat list editor columns in the specified order, beginning in

column 1.

If you enter a listname that is not stored in memory already, then listname is created and stored in memory; it becomes an item on the LIST NAMES menu.
L1 Restoring L1 through L6 to the Stat List Editor L6
SetUpEditor with no listnames removes all list names from the stat list editor and restores list names L1 through L6 in the stat list editor columns 1 through 6.
Regression Model Features
STAT CALC menu items 3 through C are regression models. The automatic residual list
and automatic regression equation features apply to all regression models. Diagnostics display mode applies to some regression models. Automatic Residual List When you execute a regression model, the automatic residual list feature computes and stores the residuals to the list name RESID. RESID becomes an item on the LIST NAMES menu (Chapter 11).

The TI-84 Plus uses the formula below to compute RESID list elements. The next section describes the variable RegEQ.
RESID = Ylistname N RegEQ(Xlistname)
Automatic Regression Equation Each regression model has an optional argument, regequ, for which you can specify a Y= variable such as Y1. Upon execution, the regression equation is stored automatically to the specified Y= variable and the Y= function is selected.
Regardless of whether you specify a Y= variable for regequ, the regression equation always is stored to the TI-84 Plus variable RegEQ, which is item 1 on the VARS Statistics EQ secondary menu.
Note: For the regression equation, you can use the fixed-decimal mode setting to control the number of digits stored after the decimal point (Chapter 1). However, limiting the number of digits to a small number could affect the accuracy of the fit.
Diagnostics Display Mode When you execute some regression models, the TI-84 Plus computes and stores diagnostics values for r (correlation coefficient) and r2 (coefficient of determination) or for R2 (coefficient of determination).
r and r2 are computed and stored for these regression models. LinReg(ax+b) LinReg(a+bx) LnReg ExpReg PwrReg
R2 is computed and stored for these regression models. QuadReg CubicReg QuartReg
The r and r2 that are computed for LnReg, ExpReg, and PwrReg are based on the linearly transformed data. For example, for ExpReg (y=ab^x), r and r2 are computed on ln y=ln a+x(ln b).
By default, these values are not displayed with the results of a regression model when you execute it. However, you can set the diagnostics display mode by executing the DiagnosticOn or DiagnosticOff instruction. Each instruction is in the CATALOG (Chapter 15).
Note: To set DiagnosticOn or DiagnosticOff from the home screen, press y N, and then select the instruction for the mode you want. The instruction is pasted to the home screen. Press to set the mode.
When DiagnosticOn is set, diagnostics are displayed with the results when you execute a regression model.
When DiagnosticOff is set, diagnostics are not displayed with the results when you execute a regression model.

The TI-84 Plus expresses memory quantities in bytes. You can increase available memory in one of two ways. You can delete one or more programs or you can archive some programs. To increase available memory by deleting a specific program: 1. Press y L and then select 2:Mem Mgmt/Del from the MEMORY menu.
2. Select 7:Prgm to display the PRGM editor (Chapter 18).
3. Press } and to move the selection cursor (4) next to the program you want to delete, and then press {. The program is deleted from memory.
Note: You will receive a message asking you to confirm this delete action. Select 2:yes to continue.
To leave the PRGM editor screen without deleting anything, press y 5, which displays the home screen. To increase available memory by archiving a program:
Chapter 16: Programming 429
4. Press y L and then select 2:Mem Mgmt/Del from the MEMORY menu. 5. Select 2:Mem Mgmt/Del to display the MEM MGMT/DEL menu. 6. Select 7:Prgm. to display the PRGM menu.
7. Press to archive the program. An asterisk will appear to the left of the program to indicate it is an archived program. To unarchive a program in this screen, put the cursor next to the archived program and press. The asterisk will disappear.
Note: Archive programs cannot be edited or executed. In order to edit or execute an archived program, you must first unarchive it.
Entering Command Lines and Executing Programs
Entering a Program Command Line You can enter on a command line any instruction or expression that you could execute from the home screen. In the program editor, each new command line begins with a colon. To enter more than one instruction or expression on a single command line, separate each with a colon.
Note: A command line can be longer than the screen is wide; long command lines wrap

to the next screen line.

While in the program editor, you can display and select from menus. You can return to the program editor from a menu in either of two ways. Select a menu item, which pastes the item to the current command line. Press.
When you complete a command line, press. The cursor moves to the next command line. Programs can access variables, lists, matrices, and strings saved in memory. If a program stores a new value to a variable, list, matrix, or string, the program changes the value in memory during execution. You can call another program as a subroutine. Executing a Program To execute a program, begin on a blank line on the home screen and follow these steps. 1. Press to display the PRGM EXEC menu. 2. Select a program name from the PRGM EXEC menu. prgmname is pasted to the home screen (for example, prgmCYLINDER). 3. Press to execute the program. While the program is executing, the busy indicator is on. Last Answer (Ans) is updated during program execution. Last Entry is not updated as each command is executed (Chapter 1).

Chapter 17: Activities 479
11. Compare the right-hand results. Define plot 1 to use WRGHT, define plot 2 to use MRGHT, and then press r to examine minX, Q1, Med, Q3, and maxX for each plot. Who were the better right-hand guessers? In the original experiment boys did not guess as well with right hands, while girls guessed equally well with either hand. This is not what our box plots show for adults. Do you think that this is because adults have learned to adapt or because our sample was not large enough?
Graphing Piecewise Functions
Problem The fine for speeding on a road with a speed limit of 45 kilometers per hour (kph) is 50; plus 5 for each kph from 46 to 55 kph; plus 10 for each kph from 56 to 65 kph; plus 20 for each kph from 66 kph and above. Graph the piecewise function that describes the cost of the ticket. The fine (Y) as a function of kilometers per hour (X) is:
Y=0 Y = 50 + 5 (X N 45) Y = 50 + + 10 (X N 55) Y = 50 + + + 20 (X N 65) 0 < X < X < X < X
Procedure 1. Press z. Select Func and the default settings. 2. Press o. Turn off all functions and stat plots. Enter the Y= function to describe the fine. Use the TEST menu operations to define the piecewise function. Set the graph style for Y1 to (dot).
3. Press p and set Xmin=L2, Xscl=10, Ymin=L5, and Yscl=10. Ignore Xmax and Ymax; they are set by @X and @Y in step 4. 4. Press y 5 to return to the home screen. Store 1 to @X, and then store 5 to @Y. @X and @Y are on the VARS Window X/Y secondary menu. @X and @Y specify the horizontal and vertical distance between the centers of adjacent pixels. Integer values for @X and @Y produce nice values for tracing. 5. Press r to plot the function. At what speed does the ticket exceed 250?

Graphing Inequalities

Problem Graph the inequality 0.4x3 N 3x + 5 < 0.2x + 4. Use the TEST menu operations to explore the values of X where the inequality is true and where it is false. Procedure 1. Press z. Select Dot, Simul, and the default settings. Setting Dot mode changes all graph style icons to (dot) in the Y= editor. 2. Press o. Turn off all functions and stat plots. Enter the left side of the inequality as Y4 and the right side as Y5.
3. Enter the statement of the inequality as Y6. This function evaluates to 1 if true or 0 if false.
4. Press q 6 to graph the inequality in the standard window. 5. Press r to move to Y6. Then press | and ~ to trace the inequality, observing the value of Y.

Xmin=0 Xmax=200 Xscl=10 Ymin=0 Ymax=150 Yscl=10 Xres=1
10. Press o. Turn off all functions and stat plots. Enter the equation for the area. Use X in place of N. Set the graph styles as shown.
11. Press r. After the graph is plotted, press 100 to trace to X=100. Press 150. Press 188. Notice that as X increases, the value of Y converges to p62, which is approximately 113.097. Y2=pB2 (the area of the circle) is a horizontal
asymptote to Y1. The area of an N-sided regular polygon, with r as the distance from the center to a vertex, approaches the area of a circle with radius r (pr 2) as N gets large.
Computing and Graphing Mortgage Payments
Problem You are a loan officer at a mortgage company, and you recently closed on a 30-year home mortgage at 8 percent interest with monthly payments of 800. The new home owners want to know how much will be applied to the interest and how much will be applied to the principal when they make the 240th payment 20 years from now. Procedure 1. Press z and set the fixed-decimal mode to 2 decimal places. Set the other mode settings to the defaults. 2. Press to display the TVM Solver. Enter these values.
Note: Enter a positive number (800) to show PMT as a cash inflow. Payment values will be displayed as positive numbers on the graph. Enter 0 for FV, since the future value of a loan is 0 once it is paid in full. Enter PMT: END, since payment is due at the
end of a period. 3. Move the cursor onto the PV= prompt, and then press \. The present value, or mortgage amount, of the house is displayed at the PV= prompt.
Now compare the graph of the amount of interest with the graph of the amount of principal for each payment. 4. Press z. Set Par and Simul. 5. Press o. Turn off all functions and stat plots. Enter these equations and set the graph styles as shown.
Note: GPrn( and GInt( are located on the FINANCE menu (APPS 1:FINANCE).
6. Press p. Set these window variables.
Tmin=1 Tmax=360 Tstep=12 Xmin=0 Xmax=360 Xscl=10 Ymin=0 Ymax=1000 Yscl=100
Note: To increase the graph speed, change Tstep to 24.
7. Press r. After the graph is drawn, press 240 to move the trace cursor to T=240, which is equivalent to 20 years of payments.
Chapter 17: Activities 511
The graph shows that for the 240th payment (X=240), 358.03 of the 800 payment is applied to principal (Y=358.03).
Note: The sum of the payments (Y3T=Y1T+Y2T) is always 800.
8. Press to move the cursor onto the function for interest defined by X2T and Y2T. Enter 240.
The graph shows that for the 240th payment (X=240), 441.97 of the 800 payment is interest (Y=441.97). 9. Press y 5 9 to paste 9:bal( to the home screen. Check the figures from the graph.
At which monthly payment will the principal allocation surpass the interest allocation?

Note: The # and $ in the top or bottom of the left column indicate that you can scroll up or down to view more variable types.
2. Select 2:Mem Mgmt/Del to display the MEMORY MANAGEMENT/DELETE menu. The TI-84 Plus expresses memory quantities in bytes.
3. Select variable types from the list to display memory usage.
Notes: Real, List, Y-Vars, and Prgm variable types never reset to zero, even after memory is cleared. Apps are independent applications which are stored in Flash ROM. AppVars is a
variable holder used to store variables created by Apps. You cannot edit or change variables in AppVars unless you do so through the application which created them.
Chapter 18: Memory and Variable Management 517
To leave the MEMORY MANAGEMENT/DELETE menu, press either y 5 or. Both options display the home screen.
Deleting Items from Memory
Deleting an Item To increase available memory by deleting the contents of any variable (real or complex number, list, matrix, Y= variable, program, Apps, AppVars, picture, graph database, or string), follow these steps. 1. Press y L to display the MEMORY menu. 2. Select 2:Mem Mgmt/Del to display the MEMORY MANAGEMENT/DELETE menu. 3. Select the type of data you want to delete, or select 1:All for a list of all variables of all types. A screen is displayed listing each variable of the type you selected and the number of bytes each variable is using. For example, if you select 4:List, the LIST editor screen is displayed.
4. Press } and to move the selection cursor (4) next to the item you want to delete, and then press {. The variable is deleted from memory. You can delete individual variables one by one from this screen. No warning will be given to verify the deletion.
Note: If you are deleting programs or Apps, you will receive a message asking you to confirm this delete action. Select 2:Yes to continue.
To leave any variable screen without deleting anything, press y 5, which displays the home screen. You cannot delete some system variables, such as the last-answer variable Ans and the statistical variable RegEQ.
Clearing Entries and List Elements

Clear Entries

Clear Entries clears the contents of the ENTRY (last entry on home screen) storage area. To clear the ENTRY storage area, follow these steps.
1. Press y L to display the MEMORY menu. 2. Select 3:Clear Entries to paste the instruction to the home screen. 3. Press to clear the ENTRY storage area.
To cancel Clear Entries, press.
Note: If you select 3:Clear Entries from within a program, the Clear Entries instruction is pasted to the program editor, and the Entry (last entry) is cleared when the program is executed.

Variable Type System variables
Names Xmin, Xmax, and others

Archive? (yes/no) no

UnArchive? (yes/no) not applicable
Archiving and unarchiving can be done in two ways: Use the 5:Archive or 6:UnArchive commands from the MEMORY menu or CATALOG. Use a Memory Management editor screen.
Before archiving or unarchiving variables, particularly those with a large byte size (such as large programs) use the MEMORY menu to: Find the size of the variable. See if there is enough free space.
For: Archive UnArchive Sizes must be such that: Archive free size > variable size RAM free size > variable size
Note: If there is not enough space, unarchive or delete variables as necessary. Be aware
that when you unarchive a variable, not all the memory associated with that variable in user data archive will be released since the system keeps track of where the variable has been and where it is now in RAM. Even if there appears to be enough free space, you may see a Garbage Collection message when you attempt to archive a variable. Depending on the usability of empty blocks in the user data archive, you may need to unarchive existing variables to create more free space.
Chapter 18: Memory and Variable Management 525
To archive or unarchive a list variable (L1) using the Archive/UnArchive options from the MEMORY menu: 1. Press y L to display the MEMORY menu.
2. Select 5:Archive or 6:UnArchive to place the command in the Home screen. 3. Press y d to place the L1 variable in the Home screen.
4. Press to complete the archive process.
Note: An asterisk will be displayed to the left of the Archived variable name to indicate it
is archived. To archive or unarchive a list variable (L1) using a Memory Management editor: 1. Press y L to display the MEMORY menu.
2. Select 2:Mem Mgmt/Del to display the MEMORY MANAGEMENT/DELETE menu.
3. Select 4:List to display the LIST menu.
4. Press to archive L1. An asterisk will appear to the left of L1 to indicate it is an archived variable. To unarchive a variable in this screen, put the cursor next to the archived variable and press. The asterisk will disappear.
5. Press y 5 to leave the LIST menu.
Note: You can access an archived variable for the purpose of linking, deleting, or unarchiving it, but you cannot edit it.

Resetting the TI-84 Plus

RAM ARCHIVE ALL Menu
Reset displays the RAM ARCHIVE ALL menu. This menu gives you the option of resetting

all memory (including default settings) or resetting selected portions of memory while preserving other data stored in memory, such as programs and Y= functions. For instance, you can choose to reset all of RAM or just restore the default settings. Be aware that if you choose to reset RAM, all data and programs in RAM will be erased. For archive memory, you can reset variables (Vars), applications (Apps), or both of these. Be aware that if you choose to reset Vars, all data and programs in archive memory will be erased. If you choose to reset Apps, all applications in archive memory will be erased. When you reset defaults on the TI-84 Plus, all defaults in RAM are restored to the factory settings. Stored data and programs are not changed. These are some examples of TI-84 Plus defaults that are restored by resetting the defaults. Mode settings such as Normal (notation); Func (graphing); Real (numbers); and Full (screen)

Y= functions off

Window variable values such as Xmin=L10, Xmax=10, Xscl=1, Yscl=1, and Xres=1

STAT PLOTS off

Format settings such as CoordOn (graphing coordinates on); AxesOn; and ExprOn (expression on)

rand seed value to 0

Displaying the RAM ARCHIVE ALL Menu To display the RAM ARCHIVE ALL menu on the TI-84 Plus, follow these steps. 1. Press y L to display the MEMORY menu. 2. Select 7:Reset to display the RAM ARCHIVE ALL menu.
Resetting RAM Memory Resetting all RAM restores RAM system variables to factory settings and deletes all nonsystem variables and all programs. Resetting RAM defaults restores all system variables to default settings without deleting variables and programs in RAM. Resetting all RAM or resetting defaults does not affect variables and applications in user data archive.
Note: Before you reset all RAM memory, consider restoring sufficient available memory
by deleting only selected data. To reset all RAM memory or RAM defaults on the TI-84 Plus, follow these steps.
1. From the RAM ARCHIVE ALL menu, select 1:All RAM to display the RESET RAM menu or 2:Defaults to display the RESET DEFAULTS menu.
2. If you are resetting RAM, read the message below the RESET RAM menu. To cancel the reset and return to the HOME screen, press. To erase RAM memory or reset defaults, select 2:Reset. Depending on your choice, the message RAM cleared or Defaults set is displayed on the home screen.
Resetting Archive Memory When resetting archive memory on the TI-84 Plus, you can choose to delete from user data archive all variables, all applications, or both variables and applications. To reset all or part of user data archive memory, follow these steps. 1. From the RAM ARCHIVE ALL menu, press ~ to display the ARCHIVE menu.
2. Select one of the following:
1:Vars to display the RESET ARC VARS menu.

You attempt a data transfer from a TI-84 Plus to a TI-82 with data other than real lists L1 through L6 or without using menu item 5:Lists to TI82. You attempt a data transfer from a TI-84 Plus to a TI-73 with data other than real numbers, pics, real lists L1 through L6 or named lists with q as part of the name. Although a transmission error does not occur, these two conditions may prevent successful transmission. You try to use Get( with a graphing calculator instead of a CBL 2 or CBR.
You try to use GetCalc( with a TI-83 instead of a TI-84 Plus or TI-84 Plus Silver Edition.
Insufficient Memory in Receiving Unit During transmission, if the receiving unit does not have sufficient memory to receive an item, the Memory Full menu is displayed on the receiving unit. To skip this item for the current transmission, select 1:Omit. Transmission resumes with the next item. To cancel the transmission and exit receive mode, select 2:Quit.
Appendix A: Functions and Instructions
Functions return a value, list, or matrix. You can use functions in an expression. Instructions initiate an action. Some functions and instructions have arguments. Optional arguments and accompanying commas are enclosed in brackets ( [ ] ). For details about an item, including argument descriptions and restrictions, turn to the page listed on the right side of the table. From the CATALOG, you can paste any function or instruction to the home screen or to a command line in the program editor. However, some functions and instructions are not valid on the home screen. The items in this table appear in the same order as they appear in the CATALOG. indicates either keystrokes that are valid in the program editor only or ones that paste certain instructions when you are in the program editor. Some keystrokes display menus that are available only in the program editor. Others paste mode, format, or table-set instructions only when you are in the program editor.
Function or Instruction/Arguments abs(value) Key or Keys/Menu or Screen/Item

Result

Returns the absolute value of a real number, NUM expression, list, or matrix. 1:abs( Returns the magnitude of a complex number or list. CPX 5:abs(

abs(complex value)

Function or Instruction/Arguments valueA and valueB
Result Returns 1 if both valueA and valueB are 0. valueA and valueB can be real numbers, expressions, or lists.
Key or Keys/Menu or Screen/Item

LOGIC 1:and

rref( (reduced-row-echelon form). 243, 603
Sci (scientific notation mode). 21, 606 scientific notation. 16 screen modes. 24 second cursor (2nd). 9 second key (2nd). 3 seconds DMS notation (). 84 sector. 542 Select(. 263, 606 selecting data points from a plot. 264 functions from the home screen or a program. 100 functions in the Y= editor. 100 stat plots from the Y= editor. 100 Send( (send to CBL 2 or CBR). 455, 606 SendID. 554 sending See transmitting. 52 SendSW. 554 Seq (sequence graphing mode). 23, 606 seq( (sequence). 262, 606 sequence graphing axes format. 161 CALC (calculate menu). 164 evaluating. 165 free-moving cursor. 162 graph format. 162
graph styles. 156 moving the cursor to a value. 163 nonrecursive sequences. 157 recursive sequences. 158 selecting and deselecting. 156 TI-84 Plus versus TI-82 table. 173 tracing. 162 web plots. 165 window variables. 159 Y= editor. 155 ZOOM (zoom menu). 164 Sequential (graphing order mode). 23, 607 service and support. 659 setDate( (set date). 607 setDtFmt( (set date format). 607 setTime( (set time). 607 setting display contrast. 6 graph styles. 102 graph styles from a program. 104 modes. 20 modes from a program. 21 split-screen modes. 213 split-screen modes from a program. 220 tables from a program. 178 setTmFmt( (set time format). 607 SetUpEditor. 301, 607 shade above graph style. 101 shade below graph style. 101
Shade(. 195, 608 Shade_t(. 384, 609 Shade(. 385, 608 ShadeF(. 385, 608 ShadeNorm(. 383, 609 shading graph areas. 103, 195 Simul (simultaneous graphing order mode). 23, 609 sin( (sine). 53, 609 sin/( (arcsine). 53, 609 sine (sin( ). 53 sine (sin( ). 609 sinh( (hyperbolic sine). 423, 609 sinh/( (hyperbolic arcsine). 423, 609 SinReg (sinusoidal regression). 311, 610 Smart Graph. 111 solve(. 66, 610 Solver. 61 solving for variables in the equation solver. 64 SortA( (sort ascending). 259, 299, 610 SortD( (sort descending). 259, 299, 610 split-screen modes G-T (graph-table) mode. 216 Horiz (horizontal) mode. 215 setting. 213, 220 split-screen values. 199, 205, 219 square (). 54, 623 square root ($( ). 54 square root ($( ). 624 startTmr, start timer. 611
STAT CALC menu. 306 STAT EDIT menu. 299 stat list editor attaching formulas to list names. 289 clearing elements from lists. 287 creating list names. 286 detaching formulas from list names. 292 displaying. 283 edit-elements context. 296 editing elements of formula-generated lists. 293 editing list elements. 288 entering list names. 284 enter-names context. 298 formula-generated list names. 291 removing lists. 287 restoring list names L1L6. 287 switching contexts. 294 view-elements context. 295 view-names context. 297 STAT PLOTS menu. 322 stat tests and confidence intervals 1-PropZInt (one-proportion z confidence interval). 357 1-PropZTest (one-proportion z test). 349 2-PropZInt (two-proportion z confidence interval). 357 2-PropZTest (two-proportion z test). 350

MATH MATH menu

Catalog
The shortcut menus are available to use where input is allowed. If the calculator is in Classic mode, or if a screen is displayed that does not support MathPrint display, entries will be displayed in Classic display. The MTRX menu is only available in MathPrint mode on the home screen and in the Y= editor.
Note: Shortcut menus may not be available if t plus F-key combinations are used by an
application that is running, such as Inequality Graphing or Transformation Graphing. Returning to the Home Screen To return to the home screen from any other screen, press y 5. Busy Indicator When the TI-84 Plus is calculating or graphing, a vertical moving line is displayed as a busy indicator in the top-right corner of the screen. When you pause a graph or a program, the busy indicator becomes a vertical moving dotted line.
Display Cursors In most cases, the appearance of the cursor indicates what will happen when you press the next key or select the next menu item to be pasted as a character.
Cursor Entry Insert Second Alpha Full MathPrint Appearance Solid rectangle Effect of Next Keystroke A character is entered at the cursor; any existing character is overwritten A character is inserted in front of the cursor location A 2nd character is entered or a 2nd operation is executed An alpha character is entered, SOLVE is executed, or shortcut menus are displayed.

Underline __

Reverse arrow

Reverse A

Checkerboard rectangle No entry; the maximum characters are entered at a prompt or memory is full Right arrow The cursor moves to either the next part of the template or out of the template.
If you press during an insertion, the cursor becomes an underlined A (A). If you press y during an insertion, the underlined cursoSr becomes an underlined # (#).
Note: If you highlight a small character such as a colon or a comma and then press or y,
the cursor does not change because the cursor width is too narrow. Graphs and editors sometimes display additional cursors, which are described in other chapters.
Interchangeable Faceplates
The TI-84 Plus Silver Edition has interchangeable faceplates that let you customize the appearance of your unit. To purchase additional faceplates, refer to the TI Online Store at education.ti.com.

Displaying a Menu While using your TI-84 Plus, you often will need to access items from its menus. When you press a key that displays a menu, that menu temporarily replaces the screen where you are working. For example, when you press , the MATH menu is displayed as a full screen.
After you select an item from a menu, the screen where you are working usually is displayed again.
Moving from One Menu to Another Some keys access more than one menu. When you press such a key, the names of all accessible menus are displayed on the top line. When you highlight a menu name, the items in that menu are displayed. Press ~ and | to highlight each menu name.
Note: FRAC shortcut menu items are also found on the
MATH NUM menu. FUNC shortcut menu items are also found on the MATH MATH menu.
Scrolling a Menu To scroll down the menu items, press. To scroll up the menu items, press }.
To page down six menu items at a time, press . To page up six menu items at a time, press }. To go to the last menu item directly from the first menu item, press }. To go to the first menu item directly from the last menu item, press. Selecting an Item from a Menu You can select an item from a menu in either of two ways. Press the number or letter of the item you want to select. The cursor can be anywhere on the menu, and the item you select need not be displayed on the screen.
Press or } to move the cursor to the item you want, and then press.
After you select an item from a menu, the TI-84 Plus typically displays the previous screen.
Note: On the LIST NAMES, PRGM EXEC, and PRGM EDIT menus, only items 1 through 9 and 0 are labeled in such a way that you can select them by pressing the appropriate number key. To move the cursor to the first item beginning with any alpha character or q, press the key combination for that alpha character or q. If no items begin with that character, the cursor moves beyond it to the next item.

Example: Calculate 327.

Leaving a Menu without Making a Selection You can leave a menu without making a selection in any of four ways. Press y 5 to return to the home screen. Press to return to the previous screen. Press a key or key combination for a different menu, such as or y 9. Press a key or key combination for a different screen, such as o or y 0.

VARS and VARS Y-VARS Menus
VARS Menu You can enter the names of functions and system variables in an expression or store to them directly. To display the VARS menu, press. All VARS menu items display secondary menus, which show the names of the system variables. 1:Window, 2:Zoom, and 5:Statistics each access more than one secondary menu. VARS Y-VARS 1: Window. 2: Zoom. 3: GDB. 4: Picture. 5: Statistics. 6: Table. 7: String.
X/Y, T/q, and U/V/W variables ZX/ZY, ZT/Zq, and ZU variables Graph database variables Picture variables XY, G, EQ, TEST, and PTS variables TABLE variables String variables
Selecting a Variable from the VARS Menu or VARS Y-VARS Menu To display the VARS Y-VARS menu, press ~. 1:Function, 2:Parametric, and 3:Polar display secondary menus of the Y= function variables. VARS Y-VARS 1: Function. 2: Parametric. 3: Polar. 4: On/Off.
Note: Yn functions XnT, YnT functions, also found on the YVARS shortcut menu rn functions, also found on the YVARS shortcut menu Lets you select/deselect functions
The sequence variables (u, v, w) are located on the keyboard as the second functions of , , and. These Y= function variables are also on the YVAR shortcut menu.
To select a variable from the VARS or VARS Y-VARS menu, follow these steps. 1. Display the VARS or VARS Y-VARS menu. Press to display the VARS menu. Press ~ to display the VARS Y-VARS menu.
2. Select the type of variable, such as 2:Zoom from the VARS menu or 3:Polar from the VARS Y-VARS menu. A secondary menu is displayed. 3. If you selected 1:Window, 2:Zoom, or 5:Statistics from the VARS menu, you can press ~ or | to display other secondary menus. 4. Select a variable name from the menu. It is pasted to the cursor location.
Equation Operating System (EOS)
Order of Evaluation The Equation Operating System (EOS) defines the order in which functions in expressions are entered and evaluated on the TI-84 Plus. EOS lets you enter numbers and functions in a simple, straightforward sequence. EOS evaluates the functions in an expression in this order.
Order Number Function Functions that precede the argument, such as , sin(, or log( Functions that are entered after the argument, such as 2, M1, !, , r, and conversions Powers and roots, such as 25 or 5

Scrolling Independent-Variable Values If Indpnt: Auto is selected, you can press } and in the independent-variable column to display more values. As you scroll the column, the corresponding dependent-variable values also are displayed. All dependent-variable values may not be displayed if Depend: Ask is selected.
Note: You can scroll back from the value entered for TblStart. As you scroll, TblStart is updated automatically to the value shown on the top line of the table. In the example above, TblStart=0 and @Tbl=1 generates and displays values of X=0, , 6; but you can press } to scroll back and display the table for X=M1, , 5.
Changing Table Settings from the Table View You can change table settings from the table view by highlighting a value in the table, pressing , and entering a new @ value. 1. Press o and then press 1 t ^ ~ to enter the function Y1=1/2x.

2. Press y 0.

3. Press to move the cursor to highlight 3, and then press. 4. Press 1 t ^ to change the table settings to view changes in X in increments of 1/2.

5. Press.

Displaying Other Dependent Variables If you have defined more than two dependent variables, the first two selected Y= functions are displayed initially. Press ~ or | to display dependent variables defined by other selected Y= functions. The independent variable always remains in the left column, except during a trace with parametric graphing mode and G-T split-screen mode set.
Note: To simultaneously display two dependent variables on the table that are not defined as
consecutive Y= functions, go to the Y= editor and deselect the Y= functions between the two you want to display. For example, to simultaneously display Y4 and Y7 on the table, go to the Y= editor and deselect Y5 and Y6.
Chapter 8: Draw Instructions
Getting Started: Drawing a Tangent Line
Getting Started is a fast-paced introduction. Read the chapter for details. 2 Suppose you want to find the equation of the tangent line at X = ------ for the function Y=sin(X). 2 1. Before you begin, press z and select 4, Radian and Func, if necessary.
2. Press o to display the Y= editor. Press to store sin(X) in Y1.
3. Press q 7 to select 7:ZTrig, which graphs the equation in the Zoom Trig window.
4. Press y < 5 to select 5:Tangent(. The tangent instruction is initiated.

5. Press y C 2 2.

6. Press. The tangent line is drawn; the X value and the tangent-line equation are displayed on the graph. Consider repeating this activity with the mode set to the number of decimal places desired. The first screen shows four decimal places. The second screen shows the decimal setting at Float.

Inverse Use the L1 function () or L1 to invert a matrix. matrix must be square. The determinant cannot equal zero.

matrixL

Powers To raise a matrix to a power, matrix must be square. You can use 2 (), 3 (MATH menu), or ^power () for integer power between 0 and 255.
matrix2 matrix3 matrix^power
Relational Operations To compare two matrices using the relational operations = and (TEST menu), they must have the same dimensions. = and compare matrixA and matrixB on an element-by-element basis. The other relational operations are not valid with matrices.
matrixA=matrixB returns 1 if every comparison is true; it returns 0 if any comparison is false. matrixAmatrixB returns 1 if at least one comparison is false; it returns 0 if no comparison is false.

iPart(, fPart(, int(

iPart( (integer part), fPart( (fractional part), and int( (greatest integer) are on the MATH NUM menu. iPart( returns a matrix containing the integer part of each element of matrix. fPart( returns a matrix containing the fractional part of each element of matrix. int( returns a matrix containing the greatest integer of each element of matrix. iPart(matrix) fPart(matrix) int(matrix)
Using the MATRX MATH Operations
MATRX MATH Menu To display the MATRX MATH menu, press y ~. NAMES MATH EDIT
Calculates the determinant. Transposes the matrix. Returns the matrix dimensions. Fills all elements with a constant. Returns the identity matrix. Returns a random matrix. Appends two matrices. Stores a matrix to a list.
1: det( 2: T 3: dim( 4: Fill( 5: identity( 6: randM( 7: augment( 8: Matr4list(
Stores a list to a matrix. Returns the cumulative sums of a matrix. Returns the row-echelon form of a matrix. Returns the reduced row-echelon form. Swaps two rows of a matrix. Adds two rows; stores in the second row. Multiplies the row by a number. Multiplies the row, adds to the second row.
9: List4matr( 0: cumSum( A: ref( B: rref( C: rowSwap( D: row+( E: row( F: row+(
det( (determinant) returns the determinant (a real number) of a square matrix. det(matrix)

Transpose

(transpose) returns a matrix in which each element (row, column) is swapped with the corresponding element (column, row) of matrix.

matrixT

Accessing Matrix Dimensions with dim(
dim( (dimension) returns a list containing the dimensions ({rows columns}) of matrix. dim(matrix)
Note: dim(matrix)"Ln:Ln(1) returns the number of rows. dim(matrix)"Ln:Ln(2) returns the number of

2. Press. 3. Press [letter from A to Z or q] to enter the first letter of the name. 4. Enter zero to four letters, q, or numbers to complete the name.
5. Press. The list is displayed on the next line. The list name and its elements are stored in memory. The list name becomes an item on the LIST NAMES menu.
Note: If you want to view a user-created list in the stat list editor, you must retrieve the list in the
stat list editor (Chapter 12). You also can create a list name in these four places. At the Name= prompt in the stat list editor At an Xlist:, Ylist:, or Data List: prompt in the stat plot editor
At a List:, List1:, List2:, Freq:, Freq1:, Freq2:, XList:, or YList: prompt in the inferential stat editors On the home screen using SetUpEditor
You can create as many list names as your TI-84 Plus memory has space to store.
Storing and Displaying Lists
Storing Elements to a List You can store list elements in either of two ways. Use brackets and on the home screen.
Use the stat list editor (Chapter 12).
The maximum dimension of a list is 999 elements.
Note: When you store a complex number to a list, the entire list is converted to a list of complex real(listname)!listname.
numbers. To convert the list to a list of real numbers, display the home screen, and then enter
Displaying a List on the Home Screen To display the elements of a list on the home screen, enter the name of the list (preceded by , if necessary), and then press. An ellipsis indicates that the list continues beyond the viewing window. Press ~ repeatedly (or press and hold ~) to scroll the list and view all the list elements.
Copying One List to Another To copy a list, store it to another list.
Accessing a List Element You can store a value to or recall a value from a specific list element. You can store to any element within the current list dimension or one element beyond.

listname(element)

Deleting a List from Memory To delete lists from memory, including L1 through L6, use the MEMORY MANAGEMENT/DELETE secondary menu (Chapter 18). Resetting memory restores L1 through L6. Removing a list from the stat list editor does not delete it from memory. Using Lists in Graphing To graph a family of curves, you can use lists (Chapter 3) or the Transformation Graphing App.

Entering List Names

Using the LIST NAMES Menu To display the LIST NAMES menu, press y 9. Each item is a user-created list name except for L1 through L6. LIST NAMES menu items are sorted automatically in alphanumerical order. Only the first 10 items are labeled, using 1 through 9, then 0. To jump to the first list name that begins with a particular alpha character or q, press [letter from A to Z or q].

4. Press | to display the STAT TESTS menu, and then press until 8:TInterval is highlighted.
5. Press to select 8:TInterval. The inferential stat editor for TInterval is displayed. If Data is not selected for Inpt:, press | to select Data. Press y 9 and press until HGHT is highlighted and then press. Press 99 to enter a 99 percent confidence level at the C-Level: prompt. 6. Press to move the cursor onto Calculate, and then press. The confidence interval is calculated, and the TInterval results are displayed on the home screen.
Interpreting the results The first line, (159.74,173.94), shows that the 99 percent confidence interval for the population mean is between about 159.74 centimeters and 173.94 centimeters. This is about a 14.2 centimeters spread. The.99 confidence level indicates that in a very large number of samples, we expect 99 percent of the intervals calculated to contain the population mean. The actual mean of the population sampled is 165.1 centimeters, which is in the calculated interval. The second line gives the mean height of the sample v used to compute this interval. The third line gives the sample standard deviation Sx. The bottom line gives the sample size n. To obtain a more precise bound on the population mean m of womens heights, increase the sample size to 90. Use a sample mean v of 163.8 and sample standard deviation Sx of 7.1 calculated from the larger random sample. This time, use the Stats (summary statistics) input option. 1. Press | 8 to display the inferential stat editor for TInterval. Press ~ to select Inpt:Stats. The editor changes so that you can enter summary statistics as input.
2. Press to store 163.8 to v. Press to store 7.1 to Sx. Press 90 to store 90 to n.
3. Press to move the cursor onto Calculate, and then press to calculate the new 99 percent confidence interval. The results are displayed on the home screen.
If the height distribution among a population of women is normally distributed with a mean m of 165.1 centimeters and a standard deviation s of 6.35 centimeters, what height is exceeded by only 5 percent of the women (the 95th percentile)? 4. Press to clear the home screen. Press y = to display the DISTR (distributions) menu.
5. Press 3 to paste invNorm( to the home screen. Press 35 .95 is the area, 165.1 is m, and 6.35 is s.
The result is displayed on the home screen; it shows that five percent of the women are taller than 175.5 centimeters. Now graph and shade the top 5 percent of the population. 6. Press p and set the window variables to these values.
Xmin=145 Xmax=185 Xscl=5 Ymin=L.02 Ymax=.08 Yscl=0 Xres=1
7. Press y = ~ to display the DISTR DRAW menu.
8. Press to paste ShadeNorm( to the home screen. Press y Z 1 y D 35.
Ans (175.5448205 from step 11) is the lower
bound. 199 is the upper bound. The normal curve is defined by a mean m of 165.1 and a standard deviation s of 6.35. 9. Press to plot and shade the normal curve.

nx n x fx = p 1 p ,x = 0,1,.,n x

where n = numtrials

binompdf(numtrials,p[,x])

binomcdf(

binomcdf( computes a cumulative probability at x for the discrete binomial distribution with the specified numtrials and probability of success (p) on each trial. x can be a real number or a list of real numbers. 0p1 must be true. numtrials must be an integer > 0. If you do not specify x, a list of cumulative probabilities is returned.
binomcdf(numtrials,p[,x])

poissonpdf(

poissonpdf( computes a probability at x for the discrete Poisson distribution with the specified mean m, which must be a real number > 0. x can be an integer or a list of integers. The probability density function (pdf) is:

f x = e x! ,x = 0,1,2,.

poissonpdf(m,x)

poissoncdf(

poissoncdf( computes a cumulative probability at x for the discrete Poisson distribution with the specified mean m, which must be a real number > 0. x can be a real number or a list of real

poissoncdf(m,x)

geometpdf(
geometpdf( computes a probability at x, the number of the trial on which the first success occurs, for the discrete geometric distribution with the specified probability of success p. 0p1 must be true. x can be an integer or a list of integers. The probability density function (pdf) is:

fx = p1 p

geometpdf(p,x)

,x = 1,2,.

geometcdf(
geometcdf( computes a cumulative probability at x, the number of the trial on which the first success occurs, for the discrete geometric distribution with the specified probability of success p. 0p1 must be true. x can be a real number or a list of real numbers. geometcdf(p,x)

Distribution Shading

DISTR DRAW Menu To display the DISTR DRAW menu, press y = ~. DISTR DRAW instructions draw various types of density functions, shade the area specified by lowerbound and upperbound, and display the computed area value. To clear the drawings, select 1:ClrDraw from the DRAW menu (Chapter 8).
Note: Before you execute a DISTR DRAW instruction, you must set the window variables so that the desired distribution fits the screen.
DISTR DRAW 1: ShadeNorm( 2: Shade_t( 3: Shadec2( 4: Shade(

tvm_ computes the annual interest rate. tvm_ [(,PV,PMT,FV,P/Y,C/Y)]

Classic MathPrint

tvm_PV
tvm_PV computes the present value. tvm_PV[(,,PMT,FV,P/Y,C/Y)]
tvm_ computes the number of payment periods.
tvm_[(,PV,PMT,FV,P/Y,C/Y)]

tvm_FV

tvm_FV computes the future value. tvm_FV[(,,PV,PMT,P/Y,C/Y)]

Calculating Cash Flows

Calculating a Cash Flow Use the cash flow functions (menu items 7 and 8) to analyze the value of money over equal time periods. You can enter unequal cash flows, which can be cash inflows or outflows. The syntax descriptions for npv( and irr( use these arguments.
interest rate is the rate by which to discount the cash flows (the cost of money) over one period. CF0 is the initial cash flow at time 0; it must be a real number. CFList is a list of cash flow amounts after the initial cash flow CF0. CFFreq is a list in which each element specifies the frequency of occurrence for a grouped (consecutive) cash flow amount, which is the corresponding element of CFList. The default is 1; if you enter values, they must be positive integers < 10,000.
For example, express this uneven cash flow in lists.
CF0 = 2000 CFList = {2000,L3000,4000} CFFreq = {2,1,2}

npv(, irr(

npv( (net present value) is the sum of the present values for the cash inflows and outflows. A positive result for npv indicates a profitable investment. npv(interest rate,CF0,CFList[,CFFreq]) irr( (internal rate of return) is the interest rate at which the net present value of the cash flows is

equal to zero.

irr(CF0,CFList[,CFFreq])

5000 3000

Calculating Amortization
Calculating an Amortization Schedule Use the amortization functions (menu items 9, 0, and A) to calculate balance, sum of principal, and sum of interest for an amortization schedule. bal(
bal( computes the balance for an amortization schedule using stored values for , PV, and PMT. npmt is the number of the payment at which you want to calculate a balance. It must be a positive integer < 10,000. roundvalue specifies the internal precision the calculator uses to calculate the balance; if you do not specify roundvalue, then the TI-84 Plus uses the current Float/Fix decimal-

mode setting.

bal(npmt[,roundvalue])
GPrn(, GInt( GPrn( computes the sum of the principal during a specified period for an amortization schedule using stored values for , PV, and PMT. pmt1 is the starting payment. pmt2 is the ending payment in the range. pmt1 and pmt2 must be positive integers < 10,000. roundvalue specifies the internal precision the calculator uses to calculate the principal; if you do not specify roundvalue, the TI-84 Plus uses the current Float/Fix decimal-mode setting.

Note: You must enter values for , PV, PMT, and before computing the principal.
GPrn(pmt1,pmt2[,roundvalue]) GInt( computes the sum of the interest during a specified period for an amortization schedule using stored values for , PV, and PMT. pmt1 is the starting payment. pmt2 is the ending payment in the range. pmt1 and pmt2 must be positive integers < 10,000. roundvalue specifies the internal precision the calculator uses to calculate the interest; if you do not specify roundvalue, the TI-84 Plus uses the current Float/Fix decimal-mode setting. GInt(pmt1,pmt2[,roundvalue])
Amortization Example: Calculating an Outstanding Loan Balance You want to buy a home with a 30-year mortgage at 8 percent APR. Monthly payments are 800. Calculate the outstanding loan balance after each payment and display the results in a graph and in the table. 1. Press z. Press ~ ~ ~ to set the fixed-decimal mode setting to 2. Press ~ to select Par graphing mode.
2. Press to display the TVM Solver.
3. Press 360 to enter number of payments. Press 8 to enter the interest rate. Press 800 to enter the payment amount. Press 0 to enter the future value of the mortgage. Press 12 to enter the payments per year, which also sets the compounding periods per year to 12. Press to select PMT:END. 4. Move the cursor to the PV prompt and then press \ to solve for the present value.
5. Press o to display the parametric Y= editor. Turn off all stat plots. Press to define X1T as T. Press 9 to define Y1T as bal(T). 6. Press p to display the window variables. Enter the values below.
Tmin=0 Xmin=0 Tmax=360 Xmax=360 Tstep=12 Xscl=50 Ymin=0 Ymax=125000 Yscl=10000
7. Press r to draw the graph and activate the trace cursor. Press ~ and | to explore the graph of the outstanding balance over time. Press a number and then press to view the balance at a specific time T. 8. Press y - and enter the values below.

TblStart=0 @Tbl=12

9. Press y 0 to display the table of outstanding balances (Y1T).
10. Press z and select G-T split-screen mode, so that the graph and table are displayed simultaneously. Press r to display X1T (time) and Y1T (balance) in the table.
Calculating Interest Conversion
Calculating an Interest Conversion Use the interest conversion functions (menu items B and C) to convert interest rates from an annual effective rate to a nominal rate (4Nom( ) or from a nominal rate to an annual effective rate (4Eff( ). 4Nom( 4Nom( computes the nominal interest rate. effective rate and compounding periods must be real numbers. compounding periods must be >0. 4Nom(effective rate,compounding periods)
4Eff( 4Eff( computes the effective interest rate. nominal rate and compounding periods must be real numbers. compounding periods must be >0. 4Eff(nominal rate,compounding periods)

Box with Lid

Defining a Function Take a 20 cm 25 cm. sheet of paper and cut X X squares from two corners. Cut X 12 cm rectangles from the other two corners as shown in the diagram below. Fold the paper into a box with a lid. What value of X would give your box the maximum volume V? Use the table and graphs to determine the solution. Begin by defining a function that describes the volume of the box. From the diagram: 2X + A = 20 2X + 2B = 25 V = ABX Substituting: V = (20 N 2X) (252 N X) X 1. Press o to display the Y= editor, which is where you define functions for tables and graphing.

X 20 A X B 25 X B

2. Press 25 t ^ ~ to define the volume function as Y1 in terms of X. lets you enter X quickly, without having to press. The highlighted = sign indicates that Y1 is selected.
Defining a Table of Values The table feature of the TI-84 Plus displays numeric information about a function. You can use a table of values from the function you just defined to estimate an answer to the problem. 1. Press y - to display the TABLE SETUP menu. 2. Press to accept TblStart=0. 3. Press 1 to define the table increment @Tbl=1. Leave Indpnt: Auto and Depend: Auto so that the table will be generated automatically.
4. Press y 0 to display the table. Notice that the maximum value for Y1 (boxs volume) occurs when X is about 4, between 3 and 5. 5. Press and hold to scroll the table until a negative result for Y1 is displayed. Notice that the maximum length of X for this problem occurs where the sign of Y1 (boxs volume) changes from positive to negative, between 10 and 11. 6. Press y -. Notice that TblStart has changed to 5 to reflect the first line of the table as it was last displayed. (In step 5, the first value of X displayed in the table is 5.)
Zooming In on the Table You can adjust the way a table is displayed to get more information about a defined function. With smaller values for @Tbl, you can zoom in on the table. You can change the values on the TBLSET screen by pressing y - or by pressing on the TABLE screen 1. Press y 0. 2. Press } to move the cursor to highlight 3. 3. Press. The @Tbl displays on the entry line. 4. Enter 1. The table updates, showing the changes in X in increments of 0.1. Notice that the maximum value for Y1 in this table view is 410.26, which occurs at X=3.7. Therefore, the maximum occurs where 3.6<X<3.8. 5. With X=3.6 highlighted, press 01 to set @Tbl=0.01.
6. Press and } to scroll the table. Four equivalent maximum values are shown, 410.26 at X=3.67, 3.68, 3.69, and 3.70. 7. Press or } to move the cursor to 3.67. Press ~ to move the cursor into the Y1 column. The value of Y1 at X=3.67 is displayed on the bottom line in full precision as 410.261226. 8. Press to display the other maximum. The value of Y1 at X=3.68 in full precision is 410.264064, at X=3.69 is 410.262318 and at X=3.7 is 410.256. The maximum volume of the box would occur at 3.68 if you could measure and cut the paper at.01-centimeter increments.

Result Immediately stores the current viewing window.
Key or Keys/Menu or Screen/Item q MEMORY 2:ZoomSto
Replots the graph using the window variables of the graph q that was displayed before you executed the last ZOOM MEMORY instruction. 1:ZPrevious Displays the portion of the graph that is in quadrant 1.

ZOOM A:ZQuadrant1

Adjusts the X or Y window settings so that each pixel represents an equal width and height in the coordinate system, and updates the viewing window. Replots the functions immediately, updating the window variables to the default values.
q ZOOM 5:ZSquare q ZOOM 6:ZStandard
Z-Test(m0,s[,listname, freqlist,alternative, drawflag]) (Data list input) Z-Test(m0,s,v,n [,alternative,drawflag]) (Summary stats input) ZTrig
Performs a z test with frequency freqlist. alternative=L1 is <; TESTS alternative=0 is ; alternative=1 is >. drawflag=1 draws 1:Z-Test( results; drawflag=0 calculates results. Performs a z test. alternative=L1 is <; alternative=0 is ; alternative=1 is >. drawflag=1 draws results; drawflag=0 calculates results. Replots the functions immediately, updating the window variables to preset values for plotting trig functions. Returns factorial of value. TESTS 1:Z-Test( q ZOOM 7:ZTrig

Factorial: value!

PRB 4:!

Factorial: list!

Returns factorial of list elements.

Degrees notation: value

Interprets value as degrees; designates degrees in DMS format. Interprets angle as radians.

ANGLE 1:

Radian: angler

ANGLE 3:r

Transpose: matrixT
Returns a matrix in which each element (row, column) is swapped with the corresponding element (column, row) of matrix. Returns xthroot of value.

MATH 2:T

MATH 5:x
Function or Instruction/Arguments xthrootxlist
Result Returns xthroot of list elements.

listxvalue

Returns list roots of value.

listAxlistB

Returns listA roots of listB.

Cube: value3

Returns the cube of a real or complex number, expression, list, or square matrix. MATH 3:3

Cube root: 3(value)

Returns the cube root of a real or complex number, expression, or list.

MATH 4:3(

Equal: valueA=valueB
Returns 1 if valueA = valueB. Returns 0 if valueA valueB. valueA and valueB can be real or complex numbers, expressions, lists, or matrices. Returns 1 if valueA valueB. Returns 0 if valueA = valueB. valueA and valueB can be real or complex numbers, expressions, lists, or matrices. Returns 1 if valueA < valueB. Returns 0 if valueA valueB. valueA and valueB can be real or complex numbers, expressions, or lists. Returns 1 if valueA > valueB. Returns 0 if valueA valueB. valueA and valueB can be real or complex numbers, expressions, or lists. Returns 1 if valueA valueB. Returns 0 if valueA > valueB. valueA and valueB can be real or complex numbers, expressions, or lists. Returns 1 if valueA valueB. Returns 0 if valueA < valueB. valueA and valueB can be real or complex numbers, expressions, or lists. Returns 1 divided by a real or complex number or expression. Returns 1 divided by list elements. Returns matrix inverted. Returns value multiplied by itself. value can be a real or complex number or expression. Returns list elements squared.

1-PropZInt (one-proportion z confidence interval) 226, 372 1-PropZTest (one-proportion z test) 221, 372 1-Var Stats (one-variable statistics) 198, 380 2-PropZInt (two-proportion z confidence interval) 226, 372 2-PropZTest (two-proportion z test) 222, 372 2-SampFTest (two-sample F-Test) 228, 375 2-SampTInt (two-sample t confidence interval) 225, 375 2-SampTTest (two-sample t test) 220, 376 2-SampZInt (two-sample z confidence interval) 224, 376 2-SampZTest (two-sample z test) 219, 375 2-Var Stats (two-variable statistics) 198, 380
a+bi (rectangular complex mode) 17, 49, 358 about 325 above graph style 70 abs( (absolute value) 45, 54, 151, 357 accuracy information computational and graphing 405 function limits and results 405 graphing 77 addition (+) 35, 384 alpha cursor 8 alpha-lock 14 alternative hypothesis 215 amortization )Int( (sum of interest) 366 )Prn( (sum of principal) 372 bal( (amortization balance) 251, 358 calculating schedules 251 formula 393 and (Boolean operator) 62, 357 ANGLE menu 58 angle modes 16 angle( 54, 357 animate graph style 70 ANOVA( (one-way variance analysis) 231, 357, 388 Ans (last answer) 23, 328, 357 APD (Automatic Power Down) 3 applications See examples, applications 35 Apps 19, 327 AppVars 19, 327 arccosine (cos/( ) 35 Archive 20, 330, 357 archive full error 344, 399 garbage collection 341 memory error 341 archived variables 386 arcsine (sin/( ) 35 arctangent (tan/( ) 35 Asm( 287, 357 AsmComp( 287, 357 AsmPrgm( 287, 357 assembly language programs 287 augment( 156, 172, 357 Automatic Power Down (APD) 3

Numerics

10^( (power of ten) 384
automatic regression equation 195 automatic residual list (RESID) 194 axes format, sequence graphing 106 axes, displaying (AxesOn, AxesOff) 74, 358 AxesOff 74, 358 AxesOn 74, 358
backing up calculator memory 350, 355 bal( (amortization balance) 251, 358 batteries 4, 407 below graph style 70 binomcdf( 239, 358 binompdf( 239, 358 block 341 Boolean logic 62 box pixel mark (%) 131, 207 Boxplot plot type (+) 206 busy indicator 7
C/Y (compounding-periods-per-year variable) 246, 256 cdf( (chi-square cdf) 358 pdf( (chi-square pdf) 358 -Test (chi-square test) 358 CALCULATE menu 86 Calculate output option 214, 216 cash flow calculating 250 formula 394 irr( (internal rate of return) 251, 366 npv( (net present value) 251, 370 CATALOG 259 CBL 2 286, 348, 364 CBR 286, 348, 364 check memory 325 checkTmr( (check timer) 358 Chi 227 chi-square cdf (ccdf( ) 238, 358 chi-square goodness of fit test 227 chi-square pdf (cpdf( ) 237, 358 chi-square test (c-Test) 227, 358 Circle( (draw circle) 127, 358 Clear Entries 325, 359 clearing all lists (ClrAllLists) 325, 359 drawing (ClrDraw) 122, 359 entries (Clear Entries) 325, 359 home screen (ClrHome) 285, 359 list (ClrList) 193, 359 table (ClrTable) 285, 359 Clock 9 Clock Off 11 Clock On 10 ClockOff, turn clock off 359 ClockOn, turn clock on 359 ClrAllLists (clear all lists) 325, 359 ClrDraw (clear drawing) 122, 359 ClrHome (clear home screen) 285, 359