CHAPTER 1 FUNCTIONS 1
1.1 Introduction 2
1.2 The Real Line 3
1.3 The Coordinate Plane 13
1.4Equations and Graphs 20
1.5 Using Technology to Graph Equations 26
1.6 Functions 33
1.7 Linear Functions 51
1.8 Quadratic Functions 59
Review Exercises 71
Exercises for Calculus 75
Chapter Test 76
CHAPTER 2 NEW FUNCTIONS FROM OLD 79
2.1 Introduction 80
2.2 Other Common Functions 81
2.3 Arithmetic Combinations of Functions 88
2.4Composition of Functions 96
2.5 Inverse Functions 106
Review Exercises 115
Exercises for Calculus 118
Chapter Test 119
CHAPTER 3 ALGEBRAIC FUNCTIONS 121
3.1 Introduction 122
3.2 Polynomial Functions 123
3.3 Finding Factors and Zeros of Polynomials 136
3.4 Rational Functions 145
3.5 Other Algebraic Functions 159
3.6 Complex Roots of Polynomials 165
Review Exercises 173
Exercises for Calculus 176
Chapter Test 178
CHAPTER 4 TRIGONOMETRIC FUNCTIONS 181
4.1 Introduction 182
4.2 Measuring Angles 183
4.3 The Sine and Cosine Functions 189
4.4 Graphs of the Sine and Cosine Functions 201
4.5 Other Trigonometric Functions 212
4.6 Trigonometric Identities 220
4.7 Right-Triangle Trigonometry 232
4.8 Inverse Trigonometric Functions 239
4.9 Applications of Trigonometric Functions 248
Review Exercises 262
Exercises for Calculus 264
Chapter Test 266
CHAPTER 5 EXPONENTIAL AND LOGARITHM FUNCTIONS 269
5.1 Introduction 270
5.2 The Natural Exponential Function 272
5.3 Logarithm Functions 283
5.4 Exponential Growth and Decay 293
Review Exercises 300
Exercises for Calculus 301
Chapter Test 302
CHAPTER 6 CONIC SECTIONS , POLAR COORDINATES, AND
PARAMETRIC EQUATIONS 304
6.1 Introduction 306
6.2 Parabolas 307
6.3 Ellipses 314
6.4 Hyperbolas 323
6.5 Polar Coordinates 330
6.6 Conic Sections in Polar Coordinates 342
6.7 Parametric Equations 348
Review Exercises 354
Exercises for Calculus 355
Chapter Test 357
ANSWERS TO ODD EXERCISES 361
INDEX 423
