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Review “Study for Quizzes and Tests”, i
Copyright, iv
Three Distinct Series, xi
Preface to the Instructor, xiii
List of Applications, xix
Photo Credits, xxiii
To the Student, xxv
R. Review, 1
R.1. Real Numbers, 2
R.2. Algebra Essentials, 17
R.3. Geometry Essentials, 30
R.4. Polynomials, 39
R.5. Factoring Polynomials, 49
R.6. Synthetic Division, 57
R.7. Rational Expressions, 61
R.8. nth Roots; Rational Exponents, 72
Chapter Review, 80
Chapter Test, 84
1. Equations and Inequalities, 85
1.1. Linear Equations, 86
1.2. Quadratic Equations, 97
1.3. Complex Numbers; Quadratic Equations in the Complex Number System, 109
1.4. Radical Equations; Equations Quadratic in Form; Factorable Equations, 118
1.5. Solving Inequalities, 124
1.6. Equations and Inequalities Involving Absolute Value, 135
1.7. Problem Solving: Interest, Mixture, Uniform Motion, and Constant Rate Job Applications, 139
Chapter Review, 148
Chapter Test, 152
Chapter Projects, 153
2. Graphs, 155
2.1. The Distance and Midpoint Formulas, 156
2.2. Graphs of Equations in Two Variables; Intercepts; Symmetry, 163
2.3. Lines, 173
2.4. Circles, 189
2.5. Variation, 195
Chapter Review, 201
Chapter Test, 204
Cumulative Review, 204
Chapter Project, 205
3. Functions and Their Graphs, 207
3.1. Functions, 208
3.2. The Graph of a Function, 222
3.3. Properties of Functions, 231
3.4. Library of Functions; Piecewise-defined Functions, 242
3.5. Graphing Techniques: Transformations, 252
3.6. Mathematical Models: Building Functions, 264
Chapter Review, 269
Chapter Test, 274
Cumulative Review, 275
Chapter Projects, 276
4. Linear and Quadratic Functions, 277
4.1. Linear Functions and Their Properties, 278
4.2. Building Linear Functions from Data, 287
4.3. Quadratic Functions and Their Properties, 293
4.4. Quadratic Models; Building Quadratic Functions from Data, 305
4.5. Inequalities Involving Quadratic Functions, 314
Chapter Review, 318
Chapter Test, 320
Cumulative Review, 321
Chapter Projects, 322
5. Polynomial and Rational Functions, 323
5.1. Polynomial Functions and Models, 324
5.2. Properties of Rational Functions, 344
5.3. The Graph of a Rational Function, 355
5.4. Polynomial and Rational Inequalities, 369
5.5. The Real Zeros of a Polynomial Function, 375
5.6. Complex Zeros; Fundamental Theorem of Algebra, 389
Chapter Review, 394
Chapter Test, 398
Cumulative Review, 398
Chapter Projects, 399
6. Exponential and Logarithmic Functions, 401
6.1. Composite Functions, 402
6.2. One-to-One Functions; Inverse Functions, 409
6.3. Exponential Functions, 423
6.4. Logarithmic Functions, 437
6.5. Properties of Logarithms, 450
6.6. Logarithmic and Exponential Equations, 459
6.7. Compound Interest, 465
6.8. Exponential Growth and Decay Models; Newton’s Law; Logistic Growth and Decay Models, 475
6.9. Building Exponential, Logarithmic, and Logistic Models from Data, 487
Chapter Review, 494
Chapter Test, 500
Cumulative Review, 501
Chapter Projects, 502
7. Analytic Geometry, 503
7.1. Conics, 504
7.2. The Parabola, 505
7.3. The Ellipse, 514
7.4. The Hyperbola, 524
Chapter Review, 536
Chapter Test, 538
Cumulative Review, 538
Chapter Projects, 539
8. Systems of Equations and Inequalities, 541
8.1. Systems of Linear Equations: Substitution and Elimination, 542
8.2. Systems of Linear Equations: Matrices, 556
8.3. Systems of Linear Equations: Determinants, 571
8.4. Matrix Algebra, 581
8.5. Partial Fraction Decomposition, 597
8.6. Systems of Nonlinear Equations, 604
8.7. Systems of Inequalities, 613
8.8. Linear Programming, 621
Chapter Review, 627
Chapter Test, 631
Cumulative Review, 632
Chapter Projects, 633
9. Sequences; Induction; the Binomial Theorem, 635
9.1. Sequences, 636
9.2. Arithmetic Sequences, 645
9.3. Geometric Sequences; Geometric Series, 651
9.4. Mathematical Induction, 663
9.5. The Binomial Theorem, 667
Chapter Review, 673
Chapter Test, 676
Cumulative Review, 676
Chapter Projects, 677
10. Counting and Probability, 679
10.1. Counting, 680
10.2. Permutations and Combinations, 685
10.3. Probability, 694
Chapter Review, 704
Chapter Test, 706
Cumulative Review, 707
Chapter Projects, 707
Appendix: Graphing Utilities, A1
1 The Viewing Rectangle, A1
2 Using a Graphing Utility to Graph Equations, A3
3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry, A6
4 Using a Graphing Utility to Solve Equations, A8
5 Square Screens, A10
6 Using a Graphing Utility to Graph Inequalities, A11
7 Using a Graphing Utility to Solve Systems of Linear Equations, A12
Answers, AN1
Index, I1
Conics, EP-1
Prepare for Class “Read the Book”, IBC-1
Practice “Work the Problems”, IBC-2

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