Preface to the Instructor | p. xiii |

List of Applications | p. xix |

Photo Credits | p. xxiii |

To the Student | p. xxiv |

Foundations: A Prelude To Functions | p. 1 |

The Distance and Midpoint Formulas | p. 2 |

Graphs of Equations in Two Variables; Intercepts; Symmetry | p. 8 |

Lines | p. 18 |

Circles | p. 33 |

Functions and Their Graphs | p. 39 |

Functions | p. 40 |

The Graph of a Function | p. 54 |

Properties of Functions | p. 63 |

Library of Functions; Piecewise-defined Functions | p. 75 |

Graphing Techniques: Transformations | p. 85 |

Mathematical Models: Constructing Functions | p. 97 |

Chapter Review | p. 105 |

Chapter Test | p. 111 |

Chapter Projects | p. 112 |

Linear and Quadratic Functions | p. 113 |

Properties of Linear Functions | p. 114 |

Building Linear Functions from Data; Direct Variation | p. 125 |

Quadratic Functions and Their Zeros | p. 133 |

Properties of Quadratic Functions | p. 144 |

Inequalities Involving Quadratic Functions | p. 154 |

Quadratic Models | p. 158 |

Complex Zeros of a Quadratic Function | p. 167 |

Equations and Inequalities Involving the Absolute Value Function | p. 170 |

Chapter Review | p. 175 |

Chapter Test | p. 179 |

Chapter Projects | p. 179 |

Cumulative Review | p. 180 |

Polynomial and Rational Functions | p. 181 |

Polynomial Functions and Models | p. 182 |

Properties of Rational Functions | p. 203 |

The Graph of a Rational Function; Inverse and Joint Variation | p. 213 |

Polynomial and Rational Inequalities | p. 231 |

The Real Zeros of a Polynomial Function | p. 236 |

Complex Zeros; Fundamental Theorem of Algebra | p. 250 |

Chapter Review | p. 256 |

Chapter Test | p. 259 |

Chapter Projects | p. 260 |

Cumulative Review | p. 261 |

Exponential and Logarithmic Functions | p. 263 |

Composite Functions | p. 264 |

One-to-One Functions; Inverse Functions | p. 271 |

Exponential Functions | p. 284 |

Logarithmic Functions | p. 300 |

Properties of Logarithms | p. 312 |

Logarithmic and Exponential Equations | p. 320 |

Compound Interest | p. 325 |

Exponential Growth and Decay; Newton's Law; Logistic Growth and Decay | p. 334 |

Building Exponential, Logarithmic, and Logistic Functions from Data | p. 345 |

Chapter Review | p. 353 |

Chapter Test | p. 359 |

Chapter Projects | p. 359 |

Cumulative Review | p. 360 |

Trigonometric Functions | p. 361 |

Angles and Their Measure | p. 362 |

Right Triangle Trigonometry | p. 375 |

Computing the Values of Trigonometric Functions of Acute Angles | p. 386 |

Trigonometric Functions of General Angles | p. 397 |

Unit Circle Approach; Properties of the Trigonometric Functions | p. 407 |

Graphs of the Sine and Cosine Functions | p. 418 |

Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions | p. 433 |

Phase Shift; Sinusoidal Curve Fitting | p. 439 |

Chapter Review | p. 450 |

Chapter Test | p. 456 |

Chapter Projects | p. 457 |

Cumulative Review | p. 458 |

Analytic Trigonometry | p. 459 |

The Inverse Sine, Cosine, and Tangent Functions | p. 460 |

The Inverse Trigonometric Functions (Continued) | p. 472 |

Trigonometric Identities | p. 477 |

Sum and Difference Formulas | p. 485 |

Double-angle and Half-angle Formulas | p. 494 |

Product-to-Sum and Sum-to-Product Formulas | p. 503 |

Trigonometric Equations (I) | p. 507 |

Trigonometric Equations (II) | p. 613 |

Chapter Review | p. 520 |

Chapter Test | p. 524 |

Chapter Projects | p. 524 |

Cumulative Review | p. 525 |

Applications of Trigonometric Functions | p. 527 |

Applications Involving Right Triangles | p. 528 |

The Law of Sines | p. 533 |

The Law of Cosines | p. 544 |

Area of a Triangle | p. 550 |

Simple Harmonic Motion; Damped Motion; Combining Waves | p. 555 |

Chapter Review | p. 564 |

Chapter Test | p. 568 |

Chapter Projects | p. 569 |

Cumulative Review | p. 570 |

Polar Coordinates; Vectors | p. 571 |

Polar Coordinates | p. 572 |

Polar Equations and Graphs | p. 580 |

The Complex Plane; De Moivre's Theorem | p. 596 |

Vectors | p. 604 |

The Dot Product | p. 615 |

Vectors in Space | p. 623 |

The Cross Product | p. 632 |

Chapter Review | p. 638 |

Chapter Test | p. 642 |

Chapter Projects | p. 643 |

Cumulative Review | p. 644 |

Analytic Geometry | p. 645 |

Conics | p. 646 |

The Parabola | p. 647 |

The Ellipse | p. 656 |

The Hyperbola | p. 666 |

Rotation of Axes; General Form of a Conic | p. 678 |

Polar Equations of Conics | p. 686 |

Plane Curves and Parametric Equations | p. 692 |

Chapter Review | p. 704 |

Chapter Test | p. 707 |

Chapter Projects | p. 707 |

Cumulative Review | p. 708 |

Systems of Equations and Inequalities | p. 709 |

Systems of Linear Equations: Substitution and Elimination | p. 710 |

Systems of Linear Equations: Matrices | p. 724 |

Systems of Linear Equations: Determinants | p. 739 |

Matrix Algebra | p. 749 |

Partial Fraction Decomposition | p. 765 |

Systems of Nonlinear Equations | p. 772 |

Systems of Inequalities | p. 781 |

Linear Programming | p. 789 |

Chapter Review | p. 796 |

Chapter Test | p. 801 |

Chapter Projects | p. 802 |

Cumulative Review | p. 803 |

Sequences; Induction; The Binomial Theorem | p. 805 |

Sequences | p. 806 |

Arithmetic Sequences | p. 815 |

Geometric Sequences; Geometric Series | p. 820 |

Mathematical Induction | p. 831 |

The Binomial Theorem | p. 834 |

Chapter Review | p. 841 |

Chapter Test | p. 843 |

Chapter Projects | p. 844 |

Cumulative Review | p. 844 |

Counting and Probability | p. 895 |

Sets and Counting | p. 846 |

Permutations and Combinations | p. 851 |

Probability | p. 861 |

Chapter Review | p. 871 |

Chapter Test | p. 874 |

Chapter Projects | p. 875 |

Cumulative Review | p. 875 |

A Preview of Calculus: The Limit, Derivative, and Integral of a Function | p. 877 |

Finding Limits Using Tables and Graphs | p. 878 |

Algebra Techniques for Finding Limits | p. 883 |

One-sided Limits; Continuous Functions | p. 890 |

The Tangent Problem; The Derivative | p. 897 |

The Area Problem; The Integral | p. 905 |

Chapter Review | p. 911 |

Chapter Test | p. 915 |

Chapter Projects | p. 916 |

Review | p. 1 |

Algebra Essentials | p. 1 |

Geometry Essentials | p. 11 |

Polynomials | p. 19 |

Factoring Polynomials | p. 29 |

Synthetic Division | p. 38 |

Rational Expressions | p. 41 |

nth Roots; Rational Exponents | p. 52 |

Solving Equations | p. 60 |

Interval Notation; Solving Inequalities | p. 66 |

Problem Solving: Applications of Linear Equations | p. 74 |

Complex Numbers | p. 82 |

Graphing Utilities | p. 1 |

The Viewing Rectangle | p. 1 |

Using a Graphing Utility to Graph Equations | p. 3 |

Using a Graphing Utility to Locate Intercepts and Check for Symmetry | p. 7 |

Using a Graphing Utility to Solve Equations | p. 9 |

Square Screens | p. 11 |

Using a Graphing Utility to Graph Inequalities | p. 12 |

Using a Graphing Utility to Solve Systems of Linear Equations | p. 14 |

Using a Graphing Utility to Graph a Polar Equation | p. 15 |

Using a Graphing Utility to Graph Parametric Equations | p. 16 |

Answers | p. 1 |

Index | p. 1 |

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