Explorations in College Algebra and

Designed to boost success in algebra and trigonometry, this manual uses graphing calculator technology to help you develop problem-solving and critical-thinking skills.

Preface to the Instructor

vii

Preface to the Student

ix

Basic Calculator Operations

Correlation Chart

1

(1)

Introduction of Keys

2

(1)

Getting Acquainted with Your Calculator

3

(10)

Fractions and Integer Exponents

13

(6)

Evaluating Through Tables and the STOre Feature

19

(10)

Rational Exponents and Radicals

29

(4)

TI-83/83plus/85/86 Complex Numbers

33

(4)

TI-83/83plus Business Applications

37

(8)

Graphically Solving Equations and Inequalities

Correlation Chart

43

(1)

Introduction of Keys

44

(1)

Graphical Solutions: Linear Equations

45

(8)

Graphical Solutions: Absolute Value Equations

53

(4)

Graphical Solutions: Quadratic and Higher Degree Equations

57

(10)

Applications of Quadratic Equations

67

(6)

Graphical Solutions: Radical Equations

73

(6)

Graphical Solutions: Linear Inequalities

79

(8)

Graphical Solutions: Absolute Value Inequalities

87

(6)

Graphical Solutions: Quadratic Inequalities

93

(6)

Graphical Solutions: Rational Inequalities

99

(8)

Graphing and Exploring Equations in Two Variables

Correlation Chart

105

(1)

Introduction of Keys

106

(1)

How Does the Calculator Actually Graph? (Exploring Points and Pixels)

107

(4)

Preparing to Graph: Calculator Viewing Windows

111

(12)

Where Did the Graph Go?

123

(4)

Functions

127

(8)

Discovering Parabolas

135

(6)

Translating and Stretching Graphs

141

(6)

Symmetry of Functions

147

(6)

Piecewise Functions

153

(6)

Rational Functions

159

(8)

The Algebra of Functions

167

(4)

Exponential and Logarithmic Functions

171

(8)

Parabolas Revisited

179

(8)

Trigonometric Functions

Correlation Chart

185

(1)

Introduction of Keys

186

(1)

Trigonometric Functions: Amplitude, Phase Shifts and Translations

187

(10)

Predict-A-Graph

197

(4)

Graphical Explorations: Trigonometric Identities

201

(4)

Graphical Solutions: Trigonometric Equations

205

(4)

Polar Graphing

209

(6)

Parametric Graphs of Conics

215

(6)

Roots of Complex Numbers

221

(8)

Miscellaneous Topics

Correlation Chart

227

(1)

Introduction of Keys

228

(1)

Matrices

229

(12)

Combinatorics and Probability

241

(6)

Statistics: Plotting Paired Data

247

(10)

Frequency Distributions

257

(10)

Line of Best Fit

267

(8)

Trouble Shooting

275

(2)

Index

277

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Explorations in College Algebra and Trigonometry Using the TI-82/83/83 Plus/85/86

Summary

Table of Contents

Supplemental Materials