Guidebook
Page 1
IBM is a registered trademark of International Business Machines Corporation. Windows is a registered trademark of Microsoft Corporation. © 1996, 2000, 2001 Texas Instruments Incorporated. TI-83 GRAPHING CALCULATOR GUIDEBOOK TI-GRAPH LINK, Calculator-Based Laboratory, CBL, CBL 2, Calculator-Based Ranger, CBR, Constant Memory, Automatic Power Down, APD, and EOS are trademarks of Apple Computer, Inc. Macintosh is a registered trademark of Texas Instruments Incorporated.
IBM is a registered trademark of International Business Machines Corporation. Windows is a registered trademark of Microsoft Corporation. © 1996, 2000, 2001 Texas Instruments Incorporated. TI-83 GRAPHING CALCULATOR GUIDEBOOK TI-GRAPH LINK, Calculator-Based Laboratory, CBL, CBL 2, Calculator-Based Ranger, CBR, Constant Memory, Automatic Power Down, APD, and EOS are trademarks of Apple Computer, Inc. Macintosh is a registered trademark of Texas Instruments Incorporated.
Guidebook
Page 3
... VARS Y.VARS Menus 1-21 Equation Operating System (EOS 1-22 Error Conditions 1-24 Introduction iii TI-83 Keyboard 2 TI-83 Menus 4 First Steps 5 Entering a Calculation: The Quadratic Formula .......... 6 Converting to use the TI.83 Graphing Calculator. Chapter 1 describes how the TI.83 operates. Other chapters describe various interactive features. Table of Contents This manual describes how to a Fraction...
... VARS Y.VARS Menus 1-21 Equation Operating System (EOS 1-22 Error Conditions 1-24 Introduction iii TI-83 Keyboard 2 TI-83 Menus 4 First Steps 5 Entering a Calculation: The Quadratic Formula .......... 6 Converting to use the TI.83 Graphing Calculator. Chapter 1 describes how the TI.83 operates. Other chapters describe various interactive features. Table of Contents This manual describes how to a Fraction...
Guidebook
Page 4
... 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 Chapter 4: Parametric Graphing Getting Started: Path of a Ball 4-2 Defining and Displaying Parametric...
... 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 Chapter 4: Parametric Graphing Getting Started: Path of a Ball 4-2 Defining and Displaying Parametric...
Guidebook
Page 7
... 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-83 CATALOG 15-2 Entering and Using Strings 15-3 Storing Strings to... (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...
... 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-83 CATALOG 15-2 Entering and Using Strings 15-3 Storing Strings to... (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...
Guidebook
Page 9
... 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.83 Features 17 Getting Started 1 Getting Started: Do This First!
... 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.83 Features 17 Getting Started 1 Getting Started: Do This First!
Guidebook
Page 10
Editing keys allow you to edit expressions and values. Advanced function keys display menus that access the advanced functions. TI-83 Keyboard Generally, the keyboard is divided into these zones: graphing keys, editing keys, advanced function keys, and scientific calculator keys. Keyboard Zones Graphing keys access the interactive graphing features. Scientific calculator keys access the capabilities of a standard scientific calculator. Graphing Keys Editing Keys Advanced Function Keys Scientific Calculator Keys 2 Getting Started
Editing keys allow you to edit expressions and values. Advanced function keys display menus that access the advanced functions. TI-83 Keyboard Generally, the keyboard is divided into these zones: graphing keys, editing keys, advanced function keys, and scientific calculator keys. Keyboard Zones Graphing keys access the interactive graphing features. Scientific calculator keys access the capabilities of a standard scientific calculator. Graphing Keys Editing Keys Advanced Function Keys Scientific Calculator Keys 2 Getting Started
Guidebook
Page 24
...is displayed again with a Left Bound? A 3 at the top of the maximum, and then press Í. The graph is displayed. 4. Press | to trace along the curve to a point to display the CALCULATE menu. prompt is displayed in the bottomleft corner. Press 4 to enter a guess for the maximum. A Right Bound?...for Left Bound and Right Bound, in the same way as described in step 4. 16 Getting Started Press y [CALC] (above , you press a number key in TRACE, the X= prompt is displayed. 3. When you can use a CALCULATE menu operation to a point near the maximum, and then press Í.
...is displayed again with a Left Bound? A 3 at the top of the maximum, and then press Í. The graph is displayed. 4. Press | to trace along the curve to a point to display the CALCULATE menu. prompt is displayed in the bottomleft corner. Press 4 to enter a guess for the maximum. A Right Bound?...for Left Bound and Right Bound, in the same way as described in step 4. 16 Getting Started Press y [CALC] (above , you press a number key in TRACE, the X= prompt is displayed. 3. When you can use a CALCULATE menu operation to a point near the maximum, and then press Í.
Guidebook
Page 30
... screen (Chapter 3), a long expression scrolls to the right and left . Busy Indicator When the TI.83 is calculating or graphing, a vertical moving dotted line. 1-4 Operating the TI-83 Chapter 3 describes graphs. Entry Answer Returning to the To return to show graphs and text simultaneously. If all lines of the display are displayed on one line, it...
... screen (Chapter 3), a long expression scrolls to the right and left . Busy Indicator When the TI.83 is calculating or graphing, a vertical moving dotted line. 1-4 Operating the TI-83 Chapter 3 describes graphs. Entry Answer Returning to the To return to show graphs and text simultaneously. If all lines of the display are displayed on one line, it...
Guidebook
Page 33
... the part of the number determine the display format. An instruction initiates an action. Operating the TI-83 1-7 Entering a Number in Scientific Notation To enter a number in scientific or engineering notation. To interrupt a calculation or graph in expressions. For example, Circle( requires three arguments, Circle(X,Y,radius). Some instructions take at the end of...
... the part of the number determine the display format. An instruction initiates an action. Operating the TI-83 1-7 Entering a Number in Scientific Notation To enter a number in scientific or engineering notation. To interrupt a calculation or graph in expressions. For example, Circle( requires three arguments, Circle(X,Y,radius). Some instructions take at the end of...
Guidebook
Page 36
... the home screen • Coordinates on a graph (Chapters 3, 4, 5, and 6) • The Tangent( DRAW instruction equation of the line, x, and dy/dx values (Chapter 8) • Results of CALCULATE operations (Chapters 3, 4, 5, and 6) •...power-of-10 exponent is the usual way we express numbers, with up to 10 digits, plus the sign and decimal. 0123456789 (fixed) decimal mode specifies the number of digits (0 through ...9) to display to the left of a regression model (Chapter 12) 1-10 Operating the TI-83 Note: If you select Normal notation, but the answer cannot display in 10 digits (or the...
... the home screen • Coordinates on a graph (Chapters 3, 4, 5, and 6) • The Tangent( DRAW instruction equation of the line, x, and dy/dx values (Chapter 8) • Results of CALCULATE operations (Chapters 3, 4, 5, and 6) •...power-of-10 exponent is the usual way we express numbers, with up to 10 digits, plus the sign and decimal. 0123456789 (fixed) decimal mode specifies the number of digits (0 through ...9) to display to the left of a regression model (Chapter 12) 1-10 Operating the TI-83 Note: If you select Normal notation, but the answer cannot display in 10 digits (or the...
Guidebook
Page 37
... in degrees. Answers display in radians. Dot plotting mode plots only the calculated points of T (Chapter 4). Radian mode interprets angle values as degrees. Func (function) graphing mode plots functions, where Y is a function of X (Chapter 3). Operating the TI-83 1-11 Pol (polar) graphing mode plots functions, where r is a function of q (Chapter 5). Func, Par, Pol, Seq...
... in degrees. Answers display in radians. Dot plotting mode plots only the calculated points of T (Chapter 4). Radian mode interprets angle values as degrees. Func (function) graphing mode plots functions, where Y is a function of X (Chapter 3). Operating the TI-83 1-11 Pol (polar) graphing mode plots functions, where r is a function of q (Chapter 5). Func, Par, Pol, Seq...
Guidebook
Page 57
...symmetric difference quotient method, which to calculate the derivative and H (if not specified, the default is 1âL3). Because of the method used in expression. fnInt(expression,variable,lower,upper[,tolerance]) Tip: To speed the drawing of integration graphs (when fnInt( is valid only for... real numbers. f¢(x) = f(x+H)Nf(xNH) 2H As H becomes smaller, the approximation usually becomes more accurate. fnInt( is used to calculate nDeriv(, the TI-83 can use nDeriv( once in a Y= equation...
...symmetric difference quotient method, which to calculate the derivative and H (if not specified, the default is 1âL3). Because of the method used in expression. fnInt(expression,variable,lower,upper[,tolerance]) Tip: To speed the drawing of integration graphs (when fnInt( is valid only for... real numbers. f¢(x) = f(x+H)Nf(xNH) 2H As H becomes smaller, the approximation usually becomes more accurate. fnInt( is used to calculate nDeriv(, the TI-83 can use nDeriv( once in a Y= equation...
Guidebook
Page 77
Exploring Graphs with TRACE Exploring Graphs with the Free-Moving Cursor .......... 3 Function Graphing Contents Getting Started: Graphing a Circle Defining Graphs Setting the Graph Modes Defining Functions Selecting and Deselecting Functions Setting Graph Styles for Functions Setting the Viewing Window Variables Setting the Graph Format Displaying Graphs Exploring Graphs with the ZOOM Instructions........... Using ZOOM MEMORY Using the CALC (Calculate) Operations 3-2 3-3 3-4 3-5 3-7 3-9 3-11 3-13 3-15 3-17 3-18 3-20 3-23 3-25 Function Graphing 3-1
Exploring Graphs with TRACE Exploring Graphs with the Free-Moving Cursor .......... 3 Function Graphing Contents Getting Started: Graphing a Circle Defining Graphs Setting the Graph Modes Defining Functions Selecting and Deselecting Functions Setting Graph Styles for Functions Setting the Viewing Window Variables Setting the Graph Format Displaying Graphs Exploring Graphs with the ZOOM Instructions........... Using ZOOM MEMORY Using the CALC (Calculate) Operations 3-2 3-3 3-4 3-5 3-7 3-9 3-11 3-13 3-15 3-17 3-18 3-20 3-23 3-25 Function Graphing 3-1
Guidebook
Page 82
You can calculate the value of a Y= function Yn at a specified value of values returns a list. Yn(value) Yn({value1,value2,value3, . . .,value n}) 3-6 Function Graphing Select the function name, which pastes the name to complete the instruction. A list of X. Defining a Function from the Home Screen... and displays the message Done. "expression"!Yn Evaluating Y= Functions in Expressions When the instruction is executed, the TI-83 stores the expression to select 1:Function from the home screen or a program, begin on the home screen or program editor. 5. Press ¿. 3.
You can calculate the value of a Y= function Yn at a specified value of values returns a list. Yn(value) Yn({value1,value2,value3, . . .,value n}) 3-6 Function Graphing Select the function name, which pastes the name to complete the instruction. A list of X. Defining a Function from the Home Screen... and displays the message Done. "expression"!Yn Evaluating Y= Functions in Expressions When the instruction is executed, the TI-83 stores the expression to select 1:Function from the home screen or a program, begin on the home screen or program editor. 5. Press ¿. 3.
Guidebook
Page 88
...) X/Y secondary menu) define the distance from @X, Xmin, @Y, and Ymin. 3-12 Function Graphing When the instruction is executed, the TI-83 stores the value to the window variable and displays the value. @X and @Y The variables @X and @Y (items 8 and 9 on a graph (graphing accuracy). @X and @Y are calculated from Xmin, Xmax, Ymin, and Ymax when you do, Xmax and...
...) X/Y secondary menu) define the distance from @X, Xmin, @Y, and Ymin. 3-12 Function Graphing When the instruction is executed, the TI-83 stores the value to the window variable and displays the value. @X and @Y The variables @X and @Y (items 8 and 9 on a graph (graphing accuracy). @X and @Y are calculated from Xmin, Xmax, Ymin, and Ymax when you do, Xmax and...
Guidebook
Page 94
...are displayed at an X value, the Y value is selected. The Y= expression is displayed in the top-left corner of the screen, if ExprOn format is calculated from the X value; Moving the Trace Cursor To move the trace cursor from one function to another, press } or †. to any valid X value on... cursor from function to function, press † and }. The trace cursor is not displayed already, press r to display it. that is updated. 3-18 Function Graphing Moving the Trace Cursor from one plotted point to the next along a function, the Y value is selected. If the...
...are displayed at an X value, the Y value is selected. The Y= expression is displayed in the top-left corner of the screen, if ExprOn format is calculated from the X value; Moving the Trace Cursor To move the trace cursor from one function to another, press } or †. to any valid X value on... cursor from function to function, press † and }. The trace cursor is not displayed already, press r to display it. that is updated. 3-18 Function Graphing Moving the Trace Cursor from one plotted point to the next along a function, the Y value is selected. If the...
Guidebook
Page 101
... a given X. The cursor is displayed, press ' to analyze the current graph functions. To move the cursor from the CALCULATE menu. Using the CALC (Calculate) Operations CALCULATE Menu value To display the CALCULATE menu, press y ãCALCä. Press Í. CALCULATE 1: value 2: zero 3: minimum 4: maximum 5: intersect 6: dy/dx 7: ‰f(x)dx Calculates a function Y value for a specified value of X. Finds a minimum of...
... a given X. The cursor is displayed, press ' to analyze the current graph functions. To move the cursor from the CALCULATE menu. Using the CALC (Calculate) Operations CALCULATE Menu value To display the CALCULATE menu, press y ãCALCä. Press Í. CALCULATE 1: value 2: zero 3: minimum 4: maximum 5: intersect 6: dy/dx 7: ‰f(x)dx Calculates a function Y value for a specified value of X. Finds a minimum of...
Guidebook
Page 102
...| or ~ (or enter a value) to select the x-value for which you specify for the left corner. 2. is selected. The current graph is on the graph screen shows the left bound of your guess. A 4 indicator on the solution and the coordinates are displayed, even if CoordOff format is then displayed...cursor onto the function for the right bound, and then press Í. Functions can have more than one x-intercept value; Select 2:zero from the CALCULATE menu. To find a zero of the function, between the bounds, and then press Í. Right Bound? The cursor is displayed with Left Bound...
...| or ~ (or enter a value) to select the x-value for which you specify for the left corner. 2. is selected. The current graph is on the graph screen shows the left bound of your guess. A 4 indicator on the solution and the coordinates are displayed, even if CoordOff format is then displayed...cursor onto the function for the right bound, and then press Í. Functions can have more than one x-intercept value; Select 2:zero from the CALCULATE menu. To find a zero of the function, between the bounds, and then press Í. Right Bound? The cursor is displayed with Left Bound...
Guidebook
Page 103
... function, and then press Í. To restore the freemoving cursor, press |, }, ~, or †. Select 3:minimum or 4:maximum from the CALCULATE menu. Press † or }, if necessary, to move the cursor to use intersect. Intersection is displayed in the bottom-left corner. To ... format is on the display to the second function, and then press Í. 4. Second curve? Select 5:intersect from the CALCULATE menu. The current graph is displayed. 2. is displayed in the bottom-left corner. 2. The cursor is selected. The intersection must appear on the solution...
... function, and then press Í. To restore the freemoving cursor, press |, }, ~, or †. Select 3:minimum or 4:maximum from the CALCULATE menu. Press † or }, if necessary, to move the cursor to use intersect. Intersection is displayed in the bottom-left corner. To ... format is on the display to the second function, and then press Í. 4. Second curve? Select 5:intersect from the CALCULATE menu. The current graph is displayed. 2. is displayed in the bottom-left corner. 2. The cursor is selected. The intersection must appear on the solution...
Guidebook
Page 104
...? in a specified interval. Use ClrDraw (Chapter 8) or any action that invokes Smart Graph to select the X value at a point, follow these steps. 1. Select 7:‰f(x)dx from the CALCULATE menu. The integral value is displayed, and the integrated area is a drawing. Press ...3. Select 6:dy/dx from the CALCULATE menu. Note: The shaded area is shaded. To find a function's slope at which you want to the function for other selected functions, press } or †. To find the numerical derivative. 3. The current graph is displayed with a tolerance of a...
...? in a specified interval. Use ClrDraw (Chapter 8) or any action that invokes Smart Graph to select the X value at a point, follow these steps. 1. Select 7:‰f(x)dx from the CALCULATE menu. The integral value is displayed, and the integrated area is a drawing. Press ...3. Select 6:dy/dx from the CALCULATE menu. Note: The shaded area is shaded. To find a function's slope at which you want to the function for other selected functions, press } or †. To find the numerical derivative. 3. The current graph is displayed with a tolerance of a...