Preface to the Instructor | p. xiii |

List of Applications | p. xix |

Photo Credits | p. xxv |

To the Student | p. xxvi |

Graphs | p. 1 |

The Distance and Midpoint Formulas | p. 2 |

Graphs of Equations in Two Variables; Intercepts; Symmetry | p. 9 |

Lines | p. 19 |

Circles | p. 35 |

Chapter Review | p. 42 |

Chapter Test | p. 44 |

Chapter Projects | p. 45 |

Functions and Their Graphs | p. 47 |

Functions | p. 48 |

The Graph of a Function | p. 62 |

Properties of Functions | p. 71 |

Library of Functions; Piecewise-defined Functions | p. 82 |

Graphing Techniques: Transformations | p. 92 |

Mathematical Models: Building Functions | p. 104 |

Chapter Review | p. 109 |

Chapter Test | p. 114 |

Cumulative Review | p. 115 |

Chapter Projects | p. 116 |

Linear and Quadratic Functions | p. 117 |

Linear Functions and Their Properties | p. 118 |

Building Linear Functions from Data | p. 127 |

Quadratic Functions and Their Properties | p. 133 |

Quadratic Models; Building Quadratic Functions from Data | p. 145 |

Inequalities Involving Quadratic Functions | p. 154 |

Chapter Review | p. 158 |

Chapter Test | p. 160 |

Cumulative Review | p. 161 |

Chapter Projects | p. 162 |

Polynomial and Rational Functions | p. 163 |

Polynomial Functions and Models | p. 164 |

Properties of Rational Functions | p. 184 |

The Graph of a Rational Function | p. 195 |

Polynomial and Rational Inequalities | p. 209 |

The Real Zeros of a Polynomial Function | p. 215 |

Complex Zeros; Fundamental Theorem of Algebra | p. 229 |

Chapter Review | p. 234 |

Chapter Test | p. 238 |

Cumulative Review | p. 238 |

Chapter Projects | p. 239 |

Exponential and Logarithmic Functions | p. 241 |

Composite Functions | p. 242 |

One-to-One Functions; Inverse Functions | p. 249 |

Exponential Functions | p. 263 |

Logarithmic Functions | p. 277 |

Properties of Logarithms | p. 290 |

Logarithmic and Exponential Equations | p. 299 |

Compound Interest | p. 305 |

Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Models | p. 315 |

Building Exponential, Logarithmic, and Logistic Models from Data | p. 327 |

Chapter Review | p. 334 |

Chapter Test | p. 340 |

Cumulative Review | p. 341 |

Chapter Projects | p. 342 |

Trigonometric Functions | p. 343 |

Angles and Their Measure | p. 344 |

Trigonometric Functions: Unit Circle Approach | p. 357 |

Properties of the Trigonometric Functions | p. 373 |

Graphs of the Sine and Cosine Functions | p. 386 |

Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions | p. 401 |

Phase Shift; Sinusoidal Curve Fitting | p. 408 |

Chapter Review | p. 419 |

Chapter Test | p. 424 |

Cumulative Review | p. 425 |

Chapter Projects | p. 426 |

Analytic Trigonometry | p. 427 |

The Inverse Sine, Cosine, and Tangent Functions | p. 428 |

The Inverse Trigonometric Functions (Continued) | p. 440 |

Trigonometric Identities | p. 446 |

Sum and Difference Formulas | p. 453 |

Double-angle and Half-angle Formulas | p. 463 |

Product-to-Sum and Sum-to-Product Formulas | p. 472 |

Trigonometric Equations (I) | p. 475 |

Trigonometric Equations (II) | p. 482 |

Chapter Review | p. 489 |

Chapter Test | p. 492 |

Cumulative Review | p. 493 |

Chapter Projects | p. 493 |

Applications of Trigonometric Functions | p. 495 |

Applications Involving Right Triangles | p. 496 |

The Law of Sines | p. 508 |

The Law of Cosines | p. 519 |

Area of a Triangle | p. 525 |

Simple Harmonic Motion; Damped Motion; Combining Waves | p. 531 |

Chapter Review | p. 541 |

Chapter Test | p. 545 |

Cumulative Review | p. 546 |

Chapter Projects | p. 546 |

Polar Coordinates; Vectors | p. 549 |

Polar Coordinates | p. 550 |

Polar Equations and Graphs | p. 558 |

The Complex Plane; DeMoivre's Theorem | p. 574 |

Vectors | p. 582 |

The Dot Product | p. 593 |

Vectors in Space | p. 601 |

The Cross Product | p. 610 |

Chapter Review | p. 616 |

Chapter Test | p. 620 |

Cumulative Review | p. 620 |

Chapter Projects | p. 621 |

Analytic Geometry | p. 623 |

Conics | p. 624 |

The Parabola | p. 625 |

The Ellipse | p. 634 |

The Hyperbola | p. 644 |

Rotation of Axes; General Form of a Conic | p. 656 |

Polar Equations of Conics | p. 664 |

Plane Curves and Parametric Equations | p. 670 |

Chapter Review | p. 682 |

Chapter Test | p. 685 |

Cumulative Review | p. 685 |

Chapter Projects | p. 686 |

Systems of Equations and Inequalities | p. 687 |

Systems of Linear Equations: Substitution and Elimination | p. 688 |

Systems of Linear Equations: Matrices | p. 702 |

Systems of Linear Equations: Determinants | p. 717 |

Matrix Algebra | p. 727 |

Partial Fraction Decomposition | p. 743 |

Systems of Nonlinear Equations | p. 750 |

Systems of Inequalities | p. 759 |

Linear Programming | p. 767 |

Chapter Review | p. 773 |

Chapter Test | p. 777 |

Cumulative Review | p. 778 |

Chapter Projects | p. 779 |

Sequences; Induction; the Binomial Theorem | p. 781 |

Sequences | p. 782 |

Arithmetic Sequences | p. 791 |

Geometric Sequences; Geometric Series | p. 797 |

Mathematical Induction | p. 809 |

The Binomial Theorem | p. 813 |

Chapter Review | p. 819 |

Chapter Test | p. 822 |

Cumulative Review | p. 822 |

Chapter Projects | p. 823 |

Counting and Probability | p. 825 |

Counting | p. 826 |

Permutations and Combinations | p. 831 |

Probability | p. 840 |

Chapter Review | p. 850 |

Chapter Test | p. 852 |

Cumulative Review | p. 853 |

Chapter Projects | p. 853 |

A Preview of Calculus: The Limit, Derivative, and Integral of a Function | p. 855 |

Finding Limits Using Tables and Graphs | p. 856 |

Algebra Techniques for Finding Limits | p. 861 |

One-sided Limits; Continuous Functions | p. 868 |

The Tangent Problem; The Derivative | p. 875 |

The Area Problem; The Integral | p. 883 |

Chapter Review | p. 889 |

Chapter Test | p. 893 |

Chapter Projects | p. 894 |

Review | p. A1 |

Algebra Essentials | p. A1 |

Geometry Essentials | p. A14 |

Polynomials | p. A22 |

Synthetic Division | p. A31 |

Rational Expressions | p. A35 |

Solving Equations | p. A43 |

Complex Numbers; Quadratic Equations in the Complex Number System | p. A54 |

Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applications | p. A62 |

Interval Notation; Solving Inequalities | p. A72 |

nth Roots; Rational Exponents | p. A81 |

Graphing Utilities | p. B1 |

The Viewing Rectangle | p. B1 |

Using a Graphing Utility to Graph Equations | p. B3 |

Using a Graphing Utility to Locate Intercepts and Check for Symmetry | p. B6 |

Using a Graphing Utility to Solve Equations | p. B8 |

Square Screens | p. B10 |

Using a Graphing Utility to Graph Inequalities | p. B11 |

Using a Graphing Utility to Solve Systems of Linear Equations | p. B12 |

Using a Graphing Utility to Graph a Polar Equation | p. B13 |

Using a Graphing Utility to Graph Parametric Equations | p. B14 |

Answers | p. AN1 |

Index | p. I1 |

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