Table of contents

Table of contents :
Cover……Page 1
Contents……Page 4
Title……Page 2
Copyright……Page 3
Preface……Page 8
P Prerequisites……Page 14
P.1 Real Numbers and Their Properties……Page 15
P.2 Integral Exponents and Scientific Notation……Page 27
P.3 Rational Exponents and Radicals……Page 36
P.4 Polynomials……Page 48
P.5 Factoring Polynomials……Page 58
P.6 Rational Expressions……Page 68
P.7 Complex Numbers……Page 79
Chapter P Highlights……Page 86
Chapter P Review Exercises……Page 88
Chapter P Test……Page 91
1 Equations, Inequalities, and Modeling……Page 92
1.1 Linear, Rational, and Absolute Value Equations……Page 93
1.2 Constructing Models to Solve Problems……Page 103
1.3 Equations and Graphs in Two Variables……Page 115
1.4 Linear Equations in Two Variables……Page 130
1.5 Quadratic Equations……Page 145
1.6 Miscellaneous Equations……Page 160
1.7 Linear and Absolute Value Inequalities……Page 173
Chapter 1 Highlights……Page 186
Chapter 1 Review Exercises……Page 188
Chapter 1 Test……Page 192
Tying it al together……Page 193
2 Functions and Graphs……Page 194
2.1 Functions……Page 195
2.2 Graphs of Relations and Functions……Page 208
2.3 Families of Functions, Transformations, and Symmetry……Page 222
2.4 Operations with Functions……Page 237
2.5 Inverse Functions……Page 247
2.6 Constructing Functions with Variation……Page 261
Chapter 2 Highlights……Page 270
Chapter 2 Review Exercises……Page 272
Chapter 2 Test……Page 275
Tying it All together……Page 276
3 Polynomial and Rational Functions……Page 278
3.1 Quadratic Functions and Inequalities……Page 279
3.2 Zeros of Polynomial Functions……Page 293
3.3 The Theory of Equations……Page 304
3.4 Graphs of Polynomial Functions……Page 314
3.5 Rational Functions and Inequalities……Page 328
Chapter 3 Highlights……Page 344
Chapter 3 Review Exercises……Page 346
Tying it All together……Page 349
4 Exponential and Logarithmic Functions……Page 352
4.1 Exponential Functions and Their Applications……Page 353
4.2 Logarithmic Functions and Their Applications……Page 368
4.3 Rules of Logarithms……Page 381
4.4 More Equations and Applications……Page 393
Chapter 4 Highlights……Page 407
Chapter 4 Review Exercises……Page 408
Chapter 4 Test……Page 410
Tying it All together……Page 411
5 Systems of Equations and Inequalities……Page 414
5.1 Systems of Linear Equations in Two Variables……Page 415
5.2 Systems of Linear Equations in Three Variables……Page 427
5.3 Nonlinear Systems of Equations……Page 438
5.4 Partial Fractions……Page 448
5.5 Inequalities and Systems of Inequalities in Two Variables……Page 457
5.6 The Linear Programming Model……Page 465
Chapter 5 Highlights……Page 472
Chapter 5 Review Exercises……Page 474
Chapter 5 Test……Page 475
Tying it All together……Page 476
6 Matrices and Determinants……Page 478
6.1 Solving Linear Systems Using Matrices……Page 479
6.2 Operations with Matrices……Page 493
6.3 Multiplication of Matrices……Page 501
6.4 Inverses of Matrices……Page 509
6.5 Solution of Linear Systems in Two Variables Using Determinants……Page 520
6.6 Solution of Linear Systems in Three Variables Using Determinants……Page 526
Chapter 6 Highlights……Page 535
Chapter 6 Review Exercises……Page 536
Chapter 6 Test……Page 537
Tying it All together……Page 538
7 The Conic Sections……Page 540
7.1 The Parabola……Page 541
7.2 The Ellipse and the Circle……Page 551
7.3 The Hyperbola……Page 564
Chapter 7 Highlights……Page 575
Chapter 7 Review Exercises……Page 576
Chapter 7 Test……Page 578
Tying it All together……Page 579
8 Sequences, Series, and Probability……Page 581
8.1 Sequences and Arithmetic Sequences……Page 582
8.2 Series and Arithmetic Series……Page 592
8.3 Geometric Sequences and Series……Page 600
8.4 Counting and Permutations……Page 612
8.5 Combinations, Labeling, and the Binomial Theorem……Page 619
8.6 Probability……Page 628
8.7 Mathematical Induction……Page 639
Chapter 8 Highlights……Page 645
Chapter 8 Review Exercises……Page 647
Chapter 8 Test……Page 649
Online Appendix A: Scatter Diagrams and Curve Fitting……Page 652
Online Appendix B: Solutions to Try This Exercises……Page 661
Answers to Exercises……Page 682
Photo Credits……Page 720
Index of Applications……Page 722
D……Page 728
F……Page 729
M……Page 730
P……Page 731
S……Page 732
Z……Page 733
Function Gallery……Page 734