Table Of Contents - Texas Instruments TI-84 Plus Manual

Table of Contents

Setup Instructions1
Basic Operation2
Calculating2
Using The Ans Memory2
Answer Display2
Storing Values3
Error Messages3
Ingredients Of Change: Functions And Linear Models5
Models And Functions5
Entering An Equation In The Graphing List5
Stat Plot Error5
Manually Changing The View Of A Graph6
Tracing To Estimate Outputs7
Evaluating Outputs On The Home Screen8
Evaluating Outputs Using The Table8
Finding Input Values Using The Solver9
How To Determine A Guess To Use In The Equation Solver10
Graphically Finding Intercepts11
X-Intercept Method11
Intersection Method12
Finding The Sum, Difference, Product, Quotient, Or Composite13
Summary Of Estimating And Solving Methods13
Finding A Difference Function14
Finding A Product Function14
Using A Constructed Function15
Checking Your Answer For A Composite Function16
Turning Functions Off And On In The Graphing List16
Linear Functions And Models17
Entering Data17
Deleting Old Data18
Editing Data18
Finding First Differences18
Scatter Plot Setup19
Drawing A Scatter Plot Of Data20
Finding A Linear Function To Model Data21
Using Lists Other Than L1 And L2 To Draw A Scatter Plot21
Copying A Graph To Paper22
Aligning Data22
Using A Model For Predictions24
Naming And Storing Data24
Recalling Stored Data25
Deleting User-Stored Data25
Exponential And Logarithmic Functions And Models27
Having The Calculator Enter Evenly Spaced Input Values28
Finding Percentage Differences28
Finding An Exponential Function To Model Data28
Finding A Log Function To Model Data29
An Inverse Relationship30
Logistic Functions And Models31
Generating Random Numbers31
Finding A Logistic Function To Model Data31
Recalling Model Parameters33
Aligning Input Data33
Vertically Shifting Data34
Limits: Limits And The Infinitely Large35
Numerically Estimating End Behavior35
Rounding Off36
Rule Of Thumb For Determining Limits From Tables36
Graphically Estimating End Behavior36
Numerically Estimating The Limit At A Point37
Graphically Estimating The Limit At A Point38
Polynomial Functions And Models39
Finding Second Differences39
Finding A Quadratic Function To Model Data40
Finding A Cubic Function To Model Data40
Describing Change: Rates43
Finding Average Rate Of Change43
Finding Percentage Change44
Finding Apy And Apr44
Instantaneous Rates Of Change45
Magnifying A Portion Of A Graph45
Drawing A Tangent Line46
Visualizing The Limiting Process47
Tangent Lines And Instantaneous Rates Of Change47
The Graph You See Is Incorrect49
Derivative Notation And Numerical Estimates50
Calculating Percentage Rate Of Change50
Numerically Estimating A Rate Of Change50
Numerically Estimating Slopes Using The Table51
Algebraically Finding Slopes52
Understanding Your Calculator's Slope Function52
Determining Change: Derivatives55
Exponential And Logarithmic Rate-Of-Change Formulas55
Derivative Notation And Calculator Notation55
Numerically Checking Slope Formulas57
Graphically Checking Slope Formulas57
The Chain Rule58
Summary Of Checking Methods58
Analyzing Change: Applications Of Derivatives59
Relative And Absolute Extreme Points59
Finding X-Intercepts Of Slopes Graphs59
Finding Zeros Of Slope Functions Using The Solver60
Using The Calculator To Find Optimal Points61
Inflection Points62
Using The Calculator To Find Inflection Points64
Accumulating Change: Limits Of Sums And The Definite Integral66
Results Of Change And Area Approximations66
Area Approximations Using Left Rectangles66
Graphing A Piecewise Continuous Function67
Area Approximations Using Right Rectangles69
Area Approximations Using Midpoint Rectangles69
Using The Numintgl Program To Simplify Area Approximations70
Limit Of Sums71
Accumulation Functions73
Definite Integral Notation And Calculator Notation73
The Fundamental Theorem Of Calculus74
Drawing Antiderivative Graphs74
The Definite Integral75
Evaluating A Definite Integral On The Home Screen75
Evaluating A Definite Integral From The Graphics Screen76
Finding The Area Between Two Curves77
Average Value And Average Rate Of Change79
Average Value Of A Function79
Geometric Interpretation Of Average Value79
Analyzing Accumulated Change: Integrals In Action81
Perpetual Accumulation And Improper Integrals81
Streams In Business And Biology81
Determining The Flow-Rate Function For An Income Stream81
Future Value Of A Discrete Income Stream83
Integrals In Economics84
Consumer Economics85
Producers' Willingness and Ability to Receive86
Producer Economics And Social Gain86
Probability Distributions And Density Functions88
Normal Probabilities88
Viewing Normal Probabilities88
Repetitive Change: Cycles And Trigonometry90
Functions Of Angles: Sine And Cosine90
Cyclic Functions As Models90
Finding Outputs Of Trig Functions With Radian Inputs90
Rates Of Change And Derivatives91
Derivatives Of Sine And Cosine Functions91
Accumulation In Cycles92
Integrals Of Sine And Cosine Functions92
Dynamics Of Change: Differential Equations And Proportionality93
Numerically Estimating by Using Differentia Equations: Euler's Method93
Euler's Method for a Differential Equation with One Input Variable93
Euler's Method for a Differential Equation with Two Input Variables94
Ingredients Of Multivariable Change: Models, Graphs, Rates96
Multivariable Functions And Contour Graphs96
Evaluating Outputs Of Multivariable Functions96
Evaluating Outputs Of Multivariable Functions Using The Math96
Sketching Contour Curves97
Cross-Sectional Models And Rates Of Change98
Finding A Cross-Sectional Model From Data (Holding The First Input Variable Constant)99
Finding A Cross-Sectional Model From Data (Holding The Second Input Variable Constant)99
Visualizing And Estimating Rates Of Change Of Cross Sections100
Finding Rates Of Change Using Cross-Sectional Models101
Partial Rates Of Change102
Umerically Checking Partial Derivative Formulas102
Compensating For Change103
Evaluating Partial Derivatives Of Multivariable Functions103
Finding The Slope Of A Line Tangent To A Contour Curve104
Analyzing Multivariable Change: Optimization105
Multivariable Optimization105
Finding Critical Points Using Algebra And The Solver105
Classifying Critical Points Using The Determinant Test106
Finding Critical Points Using Matrices107
Using A Matrix Of Coefficients108
Using A Single Matrix109
Optimization Under Constraints110
Finding Optimal Points Algebraically And Classifying Optimal Points Under Constrained Optimization110
Finding Optimal Points Using Matrices And Classifying Optimal Points Under Constrained Optimization113