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Copyright, iv
Preface, ix
Acknowledgments, xiii
To the Student, xv
About the Author, xvii
Applications Index, xviii
Chapter P. Prerequisites: Fundamental Concepts of Algebra, 1
P.1. Algebraic Expressions and Real Numbers, 2
P.2. Exponents and Scientific Notation, 17
P.3. Radicals and Rational Exponents, 31
P.4. Polynomials, 45
Mid-Chapter Check Point, 56
P.5. Factoring Polynomials, 57
P.6. Rational Expressions, 68
Summary, Review, and Test, 79
Review Exercises, 80
Chapter P Test, 82
Chapter 1. Equations and Inequalities, 83
1.1. Graphs and Graphing Utilities, 84
1.2. Linear Equations and Rational Equations, 94
1.3. Models and Applications, 108
1.4. Complex Numbers, 123
1.5. Quadratic Equations, 129
Mid-Chapter Check Point, 148
1.6. Other Types of Equations, 150
1.7. Linear Inequalities and Absolute Value Inequalities, 164
Summary, Review, and Test, 178
Review Exercises, 180
Chapter 1 Test, 183
Chapter 2. Functions and Graphs, 185
2.1. Basics of Functions and Their Graphs, 186
2.2. More on Functions and Their Graphs, 202
2.3. Linear Functions and Slope, 216
2.4. More on Slope, 231
Mid-Chapter Check Point, 240
2.5. Transformations of Functions, 241
2.6. Combinations of Functions; Composite Functions, 256
2.7. Inverse Functions, 269
2.8. Distance and Midpoint Formulas; Circles, 280
Summary, Review, and Test, 288
Review Exercises, 291
Chapter 2 Test, 294
Cumulative Review Exercises (Chapters 1–2), 296
Chapter 3. Polynomial and Rational Functions, 297
3.1. Quadratic Functions, 298
3.2. Polynomial Functions and Their Graphs, 312
3.3. Dividing Polynomials; Remainder and Factor Theorems, 326
3.4. Zeros of Polynomial Functions, 337
Mid-Chapter Check Point, 350
3.5. Rational Functions and Their Graphs, 351
3.6. Polynomial and Rational Inequalities, 370
3.7. Modeling Using Variation, 381
Summary, Review, and Test, 391
Review Exercises, 393
Chapter 3 Test, 396
Cumulative Review Exercises (Chapters 1–3), 398
Chapter 4. Exponential and Logarithmic Functions, 399
4.1. Exponential Functions, 400
4.2. Logarithmic Functions, 412
4.3. Properties of Logarithms, 424
Mid-Chapter Check Point, 433
4.4. Exponential and Logarithmic Equations, 434
4.5. Exponential Growth and Decay; Modeling Data, 446
Summary, Review, and Test, 459
Review Exercises, 461
Chapter 4 Test, 465
Cumulative Review Exercises (Chapters 1–4), 466
Chapter 5. Systems of Equations and Inequalities, 467
5.1. Systems of Linear Equations in Two Variables, 468
5.2. Systems of Linear Equations in Three Variables, 483
5.3. Partial Fractions, 491
5.4. Systems of Nonlinear Equations in Two Variables, 500
Mid-Chapter Check Point, 509
5.5. Systems of Inequalities, 509
5.6. Linear Programming, 521
Summary, Review, and Test, 528
Review Exercises, 530
Chapter 5 Test, 532
Cumulative Review Exercises (Chapters 1–5), 533
Chapter 6. Matrices and Determinants, 535
6.1. Matrix Solutions to Linear Systems, 536
6.2. Inconsistent and Dependent Systems and Their Applications, 548
6.3. Matrix Operations and Their Applications, 556
Mid-Chapter Check Point, 572
6.4. Multiplicative Inverses of Matrices and Matrix Equations, 572
6.5. Determinants and Cramer’s Rule, 586
Summary, Review, and Test, 597
Review Exercises, 599
Chapter 6 Test, 601
Cumulative Review Exercises (Chapters 1–6), 601
Chapter 7. Conic Sections, 603
7.1. The Ellipse, 604
7.2. The Hyperbola, 616
Mid-Chapter Check Point, 630
7.3. The Parabola, 631
Summary, Review, and Test, 643
Review Exercises, 643
Chapter 7 Test, 645
Cumulative Review Exercises (Chapters 1–7), 646
Chapter 8. Sequences, Induction, and Probability, 647
8.1. Sequences and Summation Notation, 648
8.2. Arithmetic Sequences, 658
8.3. Geometric Sequences and Series, 667
Mid-Chapter Check Point, 680
8.4. Mathematical Induction, 681
8.5. The Binomial Theorem, 689
8.6. Counting Principles, Permutations, and Combinations, 696
8.7. Probability, 706
Summary, Review, and Test, 719
Review Exercises, 721
Chapter 8 Test, 724
Cumulative Review Exercises (Chapters 1–8), 725
Appendix: Where Did That Come From? Selected Proofs, A1
Answers to Selected Exercises, AA1
Subject Index, I1
Photo Credits, P1
A Brief Guide to Getting the Most From This Book, IFC-1
Definitions, Rules, and Formulas, IBC-1
Carefully Read the Terms and Conditions Before Using the CD-ROM, EP-1

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