Preface to the Instructor p. ix
Preface to the Student p. xiii
List of Applications p. xxiii
Photo Credits p. xxvii
Equations and Inequalities p. 1
Rectangular Coordinates; Graphing Utilities p. 2
Introduction to Graphing Equations p. 12
Solving Equations Using a Graphing Utility; Linear Equations p. 20
Quadratic Equations p. 24
Setting Up Equations; Applications p. 33
Radical Equations; Equations Quadratic in Form p. 46
Solving Inequalities p. 51
Equations and Inequalities Involving Absolute Value p. 60
Chapter Review p. 65
Project at Motorola p. 68
Graphs p. 69
Symmetry; Graphing Key Equations p. 70
Lines p. 76
Scatter Diagrams; Linear Curve Fitting p. 91
Circles p. 98
Variation p. 104
Chapter Review p. 110
Project at Motorola p. 114
Functions p. 115
Functions p. 116
Characteristics of Functions p. 134
Library of Functions; Piecewise-defined Functions p. 146
Graphing Techniques: Transformations p. 155
Operations on Functions; Composite Functions p. 166
Mathematical Models: Constructing Functions p. 174
Chapter Review p. 184
Project at Motorola p. 188
Polynomial and Rational Functions p. 189
Quadratic Functions; Curve Fitting p. 190
Power Functions: Curve Fitting p. 209
Polynomial Functions; Curve Fitting p. 215
Rational Functions I p. 226
Rational Functions II: Analyzing Graphs p. 237
Chapter Review p. 248
Project at Motorola p. 252
The Zeros of a Polynomial Function p. 255
The Real Zeros of a Polynomial Function p. 256
Complex Numbers; Quadratic Equations with a Negative Discriminant p. 270
Complex Zeros; Fundamental Theorem of Algebra p. 280
Polynomial and Rational Inequalities p. 285
Chapter Review p. 294
Project at Motorola p. 296
Exponential and Logarithmic Functions p. 297
One-to-One Functions; Inverse Functions p. 298
Exponential Functions p. 310
Logarithmic Functions p. 323
Properties of Logarithms p. 334
Logarithmic and Exponential Equations p. 342
Compound Interest p. 346
Growth and Decay p. 357
Exponential, Logarithmic, and Logistic Curve Fitting p. 366
Chapter Review p. 378
Project at Motorola p. 383
Systems of Equations and Inequalities p. 385
Systems of Linear Equations: Two Equations Containing Two Variables p. 386
Systems of Linear Equations: Three Equations Containing Three Variables p. 397
Systems of Linear Equations: Matrices p. 403
Systems of Linear Equations: Determinants p. 416
Matrix Algebra p. 427
Systems of Linear Inequalities; Linear Programming p. 445
Partial Fraction Decomposition p. 461
Chapter Review p. 468
Project at Motorola p. 473
Sequences; Induction; the Binomial Theorem p. 475
Sequences p. 476
Arithmetic Sequences p. 491
Geometric Sequences; Geometric Series p. 497
Mathematical Induction p. 506
The Binomial Theorem p. 510
Chapter Review p. 518
Project at Motorola p. 521
Counting and Probability p. 523
Sets and Counting p. 524
Permutations and Combinations p. 530
Probability of Equally Likely Outcomes p. 540
Obtaining Probabilities from Data p. 554
Chapter Review p. 560
Project at Motorola p. 564
Conics p. 567
Preliminaries p. 568
The Parabola p. 569
The Ellipse p. 581
The Hyperbola p. 593
Systems of Nonlinear Equations p. 607
Chapter Review p. 618
Project at Motorola p. 621
Review p. 623
Topics from Algebra p. 623
Integer Exponents p. 632
Polynomials p. 638
Polynomial Division; Synthetic Division p. 644
Factoring Polynomials p. 650
Solving Equations p. 657
Rational Expressions p. 660
Radicals; Rational Exponents p. 669
Geometry Review p. 675
Answers p. 1
Index p. 1