College Algebra 9th txtbk

SECTION 11–1 Systems of Linear Equations in Two Variables xii
Contents
Preface xiv
Features xvii
Applications Index
xxviii
CHAPTER R Basic Algebraic
Operations 1
R-1 Algebra and Real Numbers 2
R-2 Exponents and Radicals 11
R-3 Polynomials: Basic Operations and Factoring 21
R-4 Rational Expressions: Basic Operations 32
Chapter R Review 39
Chapter R Review Exercises 40
CHAPTER 1 Equations and
Inequalities 43
1-1 Linear Equations and Applications 44
1-2 Linear Inequalities 56
1-3 Absolute Value in Equations and Inequalities 65
1-4 Complex Numbers 74
1-5 Quadratic Equations and Applications 84
1-6 Additional Equation-Solving Techniques 97
Chapter 1 Review 104
Chapter 1 Review Exercises 106
Chapter 1 Group Activity: Solving a Cubic
Equation 108
CHAPTER 2 Graphs 109
2-1 Cartesian Coordinate Systems 110
2-2 Distance in the Plane 122
2-3 Equation of a Line 132
2-4 Linear Equations and Models 147
Chapter 2 Review 157
Chapter 2 Review Exercises 158
Chapter 2 Group Activity: Average Speed 160
CHAPTER 3 Functions 161
3-1 Functions 162
3-2 Graphing Functions 175
3-3 Transformations of Functions 188
3-4 Quadratic Functions 203
3-5 Operations on Functions; Composition 223
3-6 Inverse Functions 235
Chapter 3 Review 250
Chapter 3 Review Exercises 252
Chapter 3 Group Activity:
Mathematical Modeling: Choosing a
Cell Phone Plan 257
CHAPTER 4 Polynomial and Rational
Functions 259
4-1 Polynomial Functions, Division, and Models 260
4-2 Real Zeros and Polynomial Inequalities 278
4-3 Complex Zeros and Rational Zeros of
Polynomials 288
4-4 Rational Functions and Inequalities 298
4-5 Variation and Modeling 315
Chapter 4 Review 321
Chapter 4 Review Exercises 323
Chapter 4 Group Activity:
Interpolating Polynomials 326
CHAPTER 5 Exponential and Logarithmic
Functions 327
5-1 Exponential Functions 328
5-2 Exponential Models 340
5-3 Logarithmic Functions 354
5-4 Logarithmic Models 365
5-5 Exponential and Logarithmic Equations 372
Chapter 5 Review 379
Chapter 5 Review Exercises 380
Chapter 5 Group Activity: Comparing
Regression Models 383
CHAPTER 6 Additional Topics in Analytic
Geometry 385
6-1 Conic Sections; Parabola 386
6-2 Ellipse 395
6-3 Hyperbola 405
Chapter 6 Review 418
Chapter 6 Review Exercises 421
Chapter 6 Group Activity: Focal Chords 422
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