Texas Instruments TI-82 STATS Manual

82STAT~2.DOC TI-83 Intl English, Title Page Bob Fedorisko Revised: 10/28/05 11:55 AM Printed: 10/28/05
11:57 AM Page iii of 8
TI-82 STATS
GRAPHING CALCULATOR
GUIDEBOOK
© 1996, 2000, 2005 Texas Instruments Incorporated.
IBM is a registered trademark of International Business Machines Corporation
Macintosh is a registered trademark of Apple Computer, Inc.

82STAT~2.DOC TI-83 Intl English, Title Page Bob Fedorisko Revised: 10/28/05 11:55 AM Printed: 10/28/05
11:57 AM Page iv of 8
Texas Instruments makes no warranty, either expressed or implied,
including but not limited to any implied warranties of merchantability
and fitness for a particular purpose, regarding any programs or book
materials and makes such materials available solely on an “as-is” basis.
In no event shall Texas Instruments be liable to anyone for special,
collateral, incidental, or consequential damages in connection with or
arising out of the purchase or use of these materials, and the sole and
exclusive liability of Texas Instruments, regardless of the form of action,
shall not exceed the purchase price of this equipment. Moreover, Texas
Instruments shall not be liable for any claim of any kind whatsoever
against the use of these materials by any other party.
This equipment has been tested and found to comply with the limits for a
Class B digital device, pursuant to Part 15 of the FCC rules. These limits
are designed to provide reasonable protection against harmful
interference in a residential installation. This equipment generates, uses,
and can radiate radio frequency energy and, if not installed and used in
accordance with the instructions, may cause harmful interference with
radio communications. However, there is no guarantee that interference
will not occur in a particular installation.
If this equipment does cause harmful interference to radio or television
reception, which can be determined by turning the equipment off and on,
you can try to correct the interference by one or more of the following
measures:
• Reorient or relocate the receiving antenna.
• Increase the separation between the equipment and receiver.
• Connect the equipment into an outlet on a circuit different from
that to which the receiver is connected.
• Consult the dealer or an experienced radio/television technician for
help.
Caution: Any changes or modifications to this equipment not expressly
approved by Texas Instruments may void your authority to operate the
equipment.
Important
US FCC
Information
Concerning
Radio Frequency
Interference

Introduction iii
82STAT~2.DOC TI-83 Intl English, Title Page Bob Fedorisko Revised: 10/28/05 11:55 AM Printed: 10/28/05
11:57 AM Page iii of 8
This manual describes how to use the TI-82 STATS Graphing Calculator. Getting
Started is an overview of TI-82 STATS features. Chapter 1 describes how the
TI-82 STATS operates. Other chapters describe various interactive features. Chapter
17 shows how to combine these features to solve problems.
TI-82 STATS Keyboard..................................................................................... 2
TI-82 STATS Menus............................................................................................ 4
First Steps .................................................................................................................... 5
Entering a Calculation: The Quadratic Formula................................. 6
Converting to a Fraction: The Quadratic Formula ............................ 7
Displaying Complex Results: The Quadratic Formula................... 8
Defining a Function: Box with Lid ............................................................. 9
Defining a Table of Values: Box with Lid ............................................. 10
Zooming In on the Table: Box with Lid .................................................. 11
Setting the Viewing Window: Box with Lid......................................... 12
Displaying and Tracing the Graph: Box with Lid ............................. 13
Zooming In on the Graph: Box with Lid................................................. 15
Finding the Calculated Maximum: Box with Lid .............................. 16
Other TI-82 STATS Features.......................................................................... 17
Turning On and Turning Off the TI-82 STATS ................................. 1-2
Setting the Display Contrast............................................................................ 1-3
The Display ................................................................................................................ 1-4
Entering Expressions and Instructions...................................................... 1-6
TI-82 STATS Edit Keys..................................................................................... 1-8
Setting Modes ........................................................................................................... 1-9
Using TI-82 STATS Variable Names ....................................................... 1-13
Storing Variable Values ..................................................................................... 1-14
Recalling Variable Values ................................................................................ 1-15
ENTRY (Last Entry) Storage Area.............................................................. 1-16
Ans (Last Answer) Storage Area.................................................................. 1-18
TI-82 STATS Menus............................................................................................ 1-19
VARS and VARS Y.VARS Menus.............................................................. 1-21
Equation Operating System (EOSé)......................................................... 1-22
Error Conditions...................................................................................................... 1-24
Table of Contents
Getting Started:
Do This First!
Chapter 1:
Operating the
TI-82 STATS

iv Introduction
82STAT~2.DOC TI-83 Intl English, Title Page Bob Fedorisko Revised: 10/28/05 11:55 AM Printed: 10/28/05
11:57 AM Page iv of 8
Getting Started: Coin Flip................................................................................. 2-2
Keyboard Math Operations .............................................................................. 2-3
MATH Operations................................................................................................... 2-5
Using the Equation Solver ................................................................................ 2-8
MATH NUM (Number) Operations.............................................................. 2-13
Entering and Using Complex Numbers.................................................... 2-16
MATH CPX (Complex) Operations ............................................................ 2-18
MATH PRB (Probability) Operations........................................................ 2-20
ANGLE Operations................................................................................................ 2-23
TEST (Relational) Operations........................................................................ 2-25
TEST LOGIC (Boolean) Operations .......................................................... 2-26
Getting Started: Graphing a Circle.............................................................. 3-2
Defining Graphs ...................................................................................................... 3-3
Setting the Graph Modes ................................................................................... 3-4
Defining Functions ................................................................................................ 3-5
Selecting and Deselecting Functions.......................................................... 3-7
Setting Graph Styles for Functions.............................................................. 3-9
Setting the Viewing Window Variables................................................... 3-11
Setting the Graph Format .................................................................................. 3-13
Displaying Graphs.................................................................................................. 3-15
Exploring Graphs with the Free-Moving Cursor................................ 3-17
Exploring Graphs with TRACE..................................................................... 3-18
Exploring Graphs with the ZOOM Instructions .................................. 3-20
Using ZOOM MEMORY.................................................................................... 3-23
Using the CALC (Calculate) Operations.................................................. 3-25
Getting Started: Path of a Ball........................................................................ 4-2
Defining and Displaying Parametric Graphs ........................................ 4-4
Exploring Parametric Graphs.......................................................................... 4-7
Getting Started: Polar Rose.............................................................................. 5-2
Defining and Displaying Polar Graphs..................................................... 5-3
Exploring Polar Graphs ...................................................................................... 5-6
Table of Contents (continued)
Chapter 2:
Math, Angle, and
Test Operations
Chapter 3:
Function
Graphing
Chapter 4:
Parametric
Graphing
Chapter 5:
Polar Graphing

Introduction v
82STAT~2.DOC TI-83 Intl English, Title Page Bob Fedorisko Revised: 10/28/05 11:55 AM Printed: 10/28/05
11:57 AM Page v of 8
Getting Started: Forest and Trees................................................................. 6-2
Defining and Displaying Sequence Graphs........................................... 6-3
Selecting Axes Combinations......................................................................... 6-8
Exploring Sequence Graphs............................................................................. 6-9
Graphing Web Plots.............................................................................................. 6-11
Using Web Plots to Illustrate Convergence........................................... 6-12
Graphing Phase Plots ........................................................................................... 6-13
Comparing TI-82 STATS and TI.82 Sequence Variables........... 6-15
Keystroke Differences Between TI-82 STATS and TI-82 .......... 6-16
Getting Started: Roots of a Function.......................................................... 7-2
Setting Up the Table............................................................................................. 7-3
Defining the Dependent Variables............................................................... 7-4
Displaying the Table............................................................................................. 7-5
Getting Started: Drawing a Tangent Line............................................... 8-2
Using the DRAW Menu...................................................................................... 8-3
Clearing Drawings ................................................................................................. 8-4
Drawing Line Segments..................................................................................... 8-5
Drawing Horizontal and Vertical Lines ................................................... 8-6
Drawing Tangent Lines ...................................................................................... 8-8
Drawing Functions and Inverses................................................................... 8-9
Shading Areas on a Graph ................................................................................ 8-10
Drawing Circles....................................................................................................... 8-11
Placing Text on a Graph..................................................................................... 8-12
Using Pen to Draw on a Graph ...................................................................... 8-13
Drawing Points on a Graph.............................................................................. 8-14
Drawing Pixels......................................................................................................... 8-16
Storing Graph Pictures (Pic)............................................................................ 8-17
Recalling Graph Pictures (Pic)....................................................................... 8-18
Storing Graph Databases (GDB)................................................................... 8-19
Recalling Graph Databases (GDB).............................................................. 8-20
Getting Started: Exploring the Unit Circle............................................. 9-2
Using Split Screen.................................................................................................. 9-3
Horiz (Horizontal) Split Screen ..................................................................... 9-4
G-T(Graph-Table) Split Screen.................................................................... 9-5
TI-82 STATS Pixels in Horiz and G-TModes .................................... 9-6
Chapter 6:
Sequence
Graphing
Chapter 7:
Tables
Chapter 8:
DRAW
Operations
Chapter 9:
Split Screen

vi Introduction
82STAT~2.DOC TI-83 Intl English, Title Page Bob Fedorisko Revised: 10/28/05 11:55 AM Printed: 10/28/05
11:57 AM Page vi of 8
Getting Started: Systems of Linear Equations ..................................... 10-2
Defining a Matrix ................................................................................................... 10-3
Viewing and Editing Matrix Elements...................................................... 10-4
Using Matrices with Expressions................................................................. 10-7
Displaying and Copying Matrices................................................................ 10-8
Using Math Functions with Matrices......................................................... 10-9
Using the MATRX MATH Operations ....................................................... 10-12
Getting Started: Generating a Sequence .................................................. 11-2
Naming Lists.............................................................................................................. 11-3
Storing and Displaying Lists........................................................................... 11-4
Entering List Names ............................................................................................. 11-6
Attaching Formulas to List Names.............................................................. 11-7
Using Lists in Expressions................................................................................ 11-9
LIST OPS Menu...................................................................................................... 11-10
LIST MATH Menu.................................................................................................. 11-17
Getting Started: Pendulum Lengths and Periods................................ 12-2
Setting up Statistical Analyses....................................................................... 12-10
Using the Stat List Editor .................................................................................. 12-11
Attaching Formulas to List Names.............................................................. 12-14
Detaching Formulas from List Names ...................................................... 12-16
Switching Stat List Editor Contexts............................................................ 12-17
Stat List Editor Contexts.................................................................................... 12-18
STAT EDIT Menu .................................................................................................. 12-20
Regression Model Features.............................................................................. 12-22
STAT CALC Menu ................................................................................................ 12-24
Statistical Variables............................................................................................... 12-29
Statistical Analysis in a Program.................................................................. 12-30
Statistical Plotting................................................................................................... 12-31
Statistical Plotting in a Program.................................................................... 12-37
Getting Started: Mean Height of a Population..................................... 13-2
Inferential Stat Editors......................................................................................... 13-6
STAT TESTS Menu ............................................................................................. 13-9
Inferential Statistics Input Descriptions ................................................... 13-26
Test and Interval Output Variables.............................................................. 13-28
Distribution Functions......................................................................................... 13-29
Distribution Shading............................................................................................. 13-35
Table of Contents (continued)
Chapter 10:
Matrices
Chapter 11:
Lists
Chapter 12:
Statistics
Chapter 13:
Inferential
Statistics and
Distributions

Introduction vii
82STAT~2.DOC TI-83 Intl English, Title Page Bob Fedorisko Revised: 10/28/05 11:55 AM Printed: 10/28/05
11:57 AM Page vii of 8
Getting Started: Financing a Car................................................................... 14-2
Getting Started: Computing Compound Interest................................ 14-3
Using the TVM Solver ......................................................................................... 14-4
Using the Financial Functions........................................................................ 14-5
Calculating Time Value of Money (TVM).............................................. 14-6
Calculating Cash Flows...................................................................................... 14-8
Calculating Amortization................................................................................... 14-9
Calculating Interest Conversion.................................................................... 14-12
Finding Days between Dates/Defining Payment Method....................... 14-13
Using the TVM Variables................................................................................... 14-14
Browsing the TI-82 STATS CATALOG.................................................. 15-2
Entering and Using Strings............................................................................... 15-3
Storing Strings to String Variables.............................................................. 15-4
String Functions and Instructions in the CATALOG........................ 15-6
Hyperbolic Functions in the CATALOG.................................................. 15-10
Getting Started: Volume of a Cylinder..................................................... 16-2
Creating and Deleting Programs................................................................... 16-4
Entering Command Lines and Executing Programs ........................ 16-5
Editing Programs .................................................................................................... 16-6
Copying and Renaming Programs ............................................................... 16-7
PRGM CTL (Control) Instructions.............................................................. 16-8
PRGM I/O (Input/Output) Instructions..................................................... 16-16
Calling Other Programs as Subroutines ................................................... 16-22
Comparing Test Results Using Box Plots............................................... 17-2
Graphing Piecewise Functions....................................................................... 17-4
Graphing Inequalities........................................................................................... 17-5
Solving a System of Nonlinear Equations.............................................. 17-6
Using a Program to Create the Sierpinski Triangle .......................... 17-7
Graphing Cobweb Attractors .......................................................................... 17-8
Using a Program to Guess the Coefficients........................................... 17-9
Graphing the Unit Circle and Trigonometric Curves ...................... 17-10
Finding the Area between Curves................................................................ 17-11
Using Parametric Equations: Ferris Wheel Problem........................ 17-12
Demonstrating the Fundamental Theorem of Calculus.................. 17-14
Computing Areas of Regular N-Sided Polygons................................ 17-16
Computing and Graphing Mortgage Payments ................................... 17-18
Chapter 14:
Financial
Functions
Chapter 15:
CATALOG,
Strings,
Hyperbolic
Functions
Chapter 16:
Programming
Chapter 17:
Applications

viii Introduction
82STAT~2.DOC TI-83 Intl English, Title Page Bob Fedorisko Revised: 10/28/05 11:55 AM Printed: 10/28/05
11:57 AM Page viii of 8
Checking Available Memory.......................................................................... 18-2
Deleting Items from Memory ......................................................................... 18-3
Clearing Entries and List Elements............................................................. 18-4
Resetting the TI-82 STATS ............................................................................. 18-5
Getting Started: Sending Variables............................................................. 19-2
TI-82 STATS LINK ............................................................................................... 19-3
Selecting Items to Send....................................................................................... 19-4
Receiving Items ....................................................................................................... 19-5
Transmitting Items................................................................................................. 19-6
Transmitting Lists to a TI-82 .......................................................................... 19-8
Transmitting from a TI-82 to a TI-82 STATS..................................... 19-9
Backing Up Memory............................................................................................ 19-10
Table of Functions and Instructions............................................................ A-2
Menu Map ................................................................................................................... A-39
Variables....................................................................................................................... A-49
Statistical Formulas............................................................................................... A-50
Financial Formulas ................................................................................................ A-54
Battery Information............................................................................................... B-2
In Case of Difficulty............................................................................................. B-4
Error Conditions...................................................................................................... B-5
Accuracy Information.......................................................................................... B-10
Support and Service Information.................................................................. B-12
Warranty Information .......................................................................................... B-13
Table of Contents (continued)
Chapter 18:
Memory
Management
Chapter 19:
Communication
Link
Appendix A:
Tables and
Reference
Information
Appendix B:
General
Information
Index

Getting Started 1
82STAT~1.DOC TI-83 international English Bob Fedorisko Revised: 10/27/05 1:33 PM Printed: 10/27/05 3:30
PM Page 1 of 18
Gettin
g
Started:
Do This First!
TI-82 STATS Keyboard..................................................................................... 2
TI-82 STATS Menus............................................................................................ 4
First Steps .................................................................................................................... 5
Entering a Calculation: The Quadratic Formula................................. 6
Converting to a Fraction: The Quadratic Formula ............................ 7
Displaying Complex Results: The Quadratic Formula................... 8
Defining a Function: Box with Lid ............................................................. 9
Defining a Table of Values: Box with Lid ............................................. 10
Zooming In on the Table: Box with Lid .................................................. 11
Setting the Viewing Window: Box with Lid......................................... 12
Displaying and Tracing the Graph: Box with Lid ............................. 13
Zooming In on the Graph: Box with Lid................................................. 15
Finding the Calculated Maximum: Box with Lid .............................. 16
Other TI-82 STATS Features.......................................................................... 17
Contents

2 Getting Started
82STAT~1.DOC TI-83 international English Bob Fedorisko Revised: 10/27/05 1:33 PM Printed: 10/27/05 3:30
PM Page 2 of 18
Generally, the keyboard is divided into these zones: graphing keys, editing keys,
advanced function keys, and scientific calculator keys.
Graphing keys access the interactive graphing features.
Editing keys allow you to edit expressions and values.
Advanced function keys display menus that access the advanced
functions.
Scientific calculator keys access the capabilities of a standard
scientific calculator.
TI-82 STATS Keyboard
Keyboard Zones
Editing Key
s
A
dvance
d
Function Keys
Scientifi
c
Calculator Keys
Graphing Key
s

Getting Started 3
82STAT~1.DOC TI-83 international English Bob Fedorisko Revised: 10/27/05 1:33 PM Printed: 10/27/05 3:30
PM Page 3 of 18
The keys on the TI-82 STATS are color-coded to help you
easily locate the key you need.
The gray keys are the number keys. The blue keys along the right
side of the keyboard are the common math functions. The blue keys
across the top set up and display graphs.
The primary function of each key is printed in white on the key.
For example, when you press , the MATH menu is
displayed.
The secondary function of each key is printed in yellow above
the key. When you press the yellow ykey, the character,
abbreviation, or word printed in yellow above the other keys
becomes active for the next keystroke. For example, when you
press yand then , the TEST menu is displayed. This
guidebook describes this keystroke combination as y[TEST].
The alpha function of each key is printed in green above the
key. When you press the green ƒkey, the alpha character
printed in green above the other keys becomes active for the
next keystroke. For example, when you press ƒand then
, the letter Ais entered. This guidebook describes this
keystroke combination as ƒ[A].
Using the
Color.Coded
Keyboard
Using the y
and ƒKeys
The ykey
accesses the
second function
printed in yellow
above each key.
The ƒkey
accesses the alpha
function printed in
green above each
key.

4 Getting Started
82STAT~1.DOC TI-83 international English Bob Fedorisko Revised: 10/27/05 1:33 PM Printed: 10/27/05 3:30
PM Page 4 of 18
Displaying a Menu
While using your TI-82 STATS, 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
p
ress 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.
Selecting an Item from a Menu
The number or letter next to the current menu item
is highlighted. If the menu continues beyond the
screen, a down arrow ( $) replaces the colon ( :)
in the last displayed item. If you scroll beyond the
last displayed item, an up arrow ( #) replaces the
colon in the first item displayed.You can select an
item in either of two ways.
¦Press †or }to move the cursor to the number
or letter of the item; press Í.
¦Press the key or key combination for the
number or letter next to the item.
Leaving a Menu without Making a Selection
You can leave a menu without making a selection
in any of three ways.
¦Press ‘to return to the screen where
you were.
¦Press y[QUIT] to return to the home screen.
¦Press a key for another menu or screen.
TI-82 STATS Menus

Getting Started 5
82STAT~1.DOC TI-83 international English Bob Fedorisko Revised: 10/27/05 1:33 PM Printed: 10/27/05 3:30
PM Page 5 of 18
Before starting the sample problems in this chapter, follow the steps on this page to
reset the TI-82 STATS to its factory settings and clear all memory. This ensures that
the keystrokes in this chapter will produce the illustrated results.
To reset the TI-82 STATS, follow these steps.
1. Press Éto turn on the calculator.
2. Press and release y, and then press [MEM]
(above Ã).
When you press y, you access the operation
p
rinted in yellow above the next key that you
p
ress. [MEM] is the yoperation of the Ã
key.
The MEMORY menu is displayed.
3. Press 5to select 5:Reset.
The RESET menu is displayed.
4. Press 1to select 1:All Memory.
The RESET MEMORY menu is displayed.
5. Press 2to select 2:Reset.
All memory is cleared, and the calculator is
reset to the factory default settings.
When you reset the TI-82 STATS, the display
contrast is reset.
¦If the screen is very light or blank, press
and release y, and then press and hold }
to darken the screen.
¦If the screen is very dark, press and release
y, and then press and hold †to lighten
the screen.
First Steps

6 Getting Started
82STAT~1.DOC TI-83 international English Bob Fedorisko Revised: 10/27/05 1:33 PM Printed: 10/27/05 3:30
PM Page 6 of 18
Use the quadratic formula to solve the quadratic equations 3X2+ 5X + 2 = 0 and 2X2
NX + 3 = 0. Begin with the equation 3X2+ 5X + 2 = 0.
1. Press 3¿ƒ[A] (above ) to
store the coefficient of the X2term.
2. Press ƒ[ :] (above Ë). The colon allows
you to enter more than one instruction on a
line.
3. Press 5¿ƒ[B] (above ) to
store the coefficient of the X term. Press
ƒ[ :] to enter a new instruction on the
same line. Press 2¿ ƒ [C] (above
) to store the constant.
4. Press Íto store the values to the variables
A, B, and C.
The last value you stored is shown on the right
side of the display. The cursor moves to the
next line, ready for your next entry.
5. Press £Ìƒ[B] à y [‡] ƒ[B]
¡¹4ƒ[A] ƒ[C] ¤ ¤ ¥ £ 2
ƒ[A] ¤to enter the expression for one
of the solutions for the quadratic formula,
−+−bb ac
a
24
2
6. Press Íto find one solution for the
equation 3X2+ 5X + 2 = 0.
The answer is shown on the right side of the
display. The cursor moves to the next line,
ready for you to enter the next expression.
Entering a Calculation: The Quadratic Formula

Getting Started 7
82STAT~1.DOC TI-83 international English Bob Fedorisko Revised: 10/27/05 1:33 PM Printed: 10/27/05 3:30
PM Page 7 of 18
You can show the solution as a fraction.
1. Press to display the MATH menu.
2. Press 1 to select 1:4Frac from the MATH menu.
When you press 1, Ans4Frac is displayed on
the home screen. Ans is a variable that
contains the last calculated answer.
3. Press Íto convert the result to a fraction.
To save keystrokes, you can recall the last expression you entered, and then edit it for
a new calculation.
4. Press y[ENTRY] (above Í) to recall the
fraction conversion entry, and then press y
[ENTRY] again to recall the quadratic-formula
expression,
−+−bb ac
a
24
2
5. Press }to move the cursor onto the +sign in
the formula. Press ¹to edit the quadratic-
formula expression to become:
−−−bb ac
a
24
2
6. Press Íto find the other solution for the
quadratic equation 3X2+ 5X + 2 = 0.
Converting to a Fraction: The Quadratic Formula

8 Getting Started
82STAT~1.DOC TI-83 international English Bob Fedorisko Revised: 10/27/05 1:33 PM Printed: 10/27/05 3:30
PM Page 8 of 18
Now solve the equation 2X2NX + 3 = 0. When you set a+bicomplex number mode,
the TI-82 STATS displays complex results.
1. Press z††††††(6 times), and
then press ~to position the cursor over a+b
i
.
Press Íto select a+b
i
complex-numbe
r
mode.
2. Press y[QUIT] (above z) to return to the
home screen, and then press ‘to clear it.
3. Press 2¿ƒ[A] ƒ[:] Ì1
¿ ƒ [B] ƒ[:] 3¿ ƒ
[C] Í.
The coefficient of the X2term, the coefficient
of the X term, and the constant for the new
equation are stored to A, B, and C,
respectively.
4. Press y[ENTRY] to recall the store
instruction, and then press y[ENTRY] again
to recall the quadratic-formula expression,
−−−bb ac
a
24
2
5. Press Íto find one solution for the
equation 2X2NX + 3 = 0.
6. Press y[ENTRY] repeatedly until this
quadratic-formula expression is displayed:
−+−bb ac
a
24
2
7. Press Íto find the other solution for the
quadratic equation: 2X2NX + 3 = 0.
Note: An alternative for solving equations for real numbers is to use the built-in Equation
Solver (Chapter 2).
Displaying Complex Results: The Quadratic Formula

Getting Started 9
82STAT~1.DOC TI-83 international English Bob Fedorisko Revised: 10/27/05 1:33 PM Printed: 10/27/05 3:30
PM Page 9 of 18
Take a 20 cm. × 25 cm. sheet of paper and cut X × X squares from two corners. Cut
X × 12.5 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 = A B X
Substituting: V = (20 N2X) (25à2 NX) X
1. Press oto display the Y= editor, which is
where you define functions for tables and
graphing.
2. Press £20 ¹2„¤£25 ¥2¹
„¤„Íto define the volume
function as Y1in terms of X.
„lets you enter Xquickly, without
having to press ƒ. The highlighted =sign
indicates that Y1is selected.
Defining a Function: Box with Lid
20
A
X
X B X B
25

10 Getting Started
82STAT~1.DOC TI-83 international English Bob Fedorisko Revised: 10/27/05 1:33 PM Printed: 10/27/05 3:30
PM Page 10 of 18
The table feature of the TI-82 STATS displays numeric information about a function.
You can use a table of values from the function defined on page 9 to estimate an
answer to the problem.
1. Press y[TBLSET] (above p) to display
the TABLE SETUP menu.
2. Press Íto accept TblStart=0.
3. Press 1Íto define the table increment
@Tbl=1. Leave Indpnt: Auto and
Depend: Auto so that the table will be
generated automatically.
4. Press y[TABLE] (above s) to display
the table.
Notice that the maximum value for Y1(box’s
volume) occurs when Xis about 4, between 3
and 5.
5. Press and hold †to scroll the table until a
negative result for Y1is displayed.
Notice that the maximum length of Xfor this
p
roblem occurs where the sign of Y1(box’s
volume) changes from positive to negative,
between 10 and 11.
6. Press y[TBLSET].
Notice that TblStart has changed to 6to 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 6.)
Defining a Table of Values: Box with Lid

Getting Started 11
82STAT~1.DOC TI-83 international English Bob Fedorisko Revised: 10/27/05 1:33 PM Printed: 10/27/05 3:30
PM Page 11 of 18
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.
1. Press 3Íto set TblStart. Press Ë1
Íto set @Tbl.
This adjusts the table setup to get a more
accurate estimate of Xfor maximum volume
Y1.
2. Press y[TABLE].
3. Press †and }to scroll the table.
Notice that the maximum value for Y1is
410.26, which occurs at X=3.7. Therefore, the
maximum occurs where 3.6<X<3.8.
4. Press y[TBLSET]. Press 3 Ë6Íto set
TblStart. Press Ë01 Íto set @Tbl.
5. Press y[TABLE], and then press †and }to
scroll the table.
Four equivalent maximum values are shown,
410.60 at X=3.67, 3.68, 3.69, and 3.70.
6. Press †and }to move the cursor to 3.67.
Press ~to move the cursor into the Y1
column.
The value of Y1at X=3.67 is displayed on the
bottom line in full precision as 410.261226.
7. Press †to display the other maximums.
The value of Y1at 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 occu
r
at 3.68 if you could measure and cut the paper at
.01-cm. increments.
Zooming In on the Table: Box with Lid

12 Getting Started
82STAT~1.DOC TI-83 international English Bob Fedorisko Revised: 10/27/05 1:33 PM Printed: 10/27/05 3:30
PM Page 12 of 18
You also can use the graphing features of the TI-82 STATS to find the maximum
value of a previously defined function. When the graph is activated, the viewing
window defines the displayed portion of the coordinate plane. The values of the
window variables determine the size of the viewing window.
1. Press pto display the window editor,
where you can view and edit the values of the
window variables.
The standard window variables define the
viewing window as shown. Xmin, Xmax,
Ymin, and Ymax define the boundaries of the
display. Xscl and Yscl define the distance
b
etween tick marks on the Xand Yaxes. Xres
controls resolution.
Xmax
Ymin
Ymax
Xscl
Yscl
Xmin
2. Press 0Íto define Xmin.
3. Press 20 ¥2to define Xmax using an
expression.
4. Press Í. The expression is evaluated, and
10 is stored in Xmax. Press Íto accept
Xscl as 1.
5. Press 0Í500 Í100 Í1 Í
to define the remaining window variables.
Setting the Viewing Window: Box with Lid