### Chapter 1

Graphs

 1.1 The Distance and Midpoint Formulas Assess Your Understanding p.6 1.2 Graphs of Equations in Two Variables; Intercepts; Symmetry Assess Your Understanding p.17 1.3 Lines Assess Your Understanding p.31 1.4 Circles Assess Your Understanding p.39 Review Exercises p.43 Chapter Test p.44

### Chapter 2

Functions And Their Graphs

 2.1 Functions Assess Your Understanding p.59 2.2 The Graph of a Function Assess Your Understanding p.66 2.3 Properties of Functions Assess Your Understanding p.78 2.4 Library of Functions; Piecewise-defined Functions Assess Your Understanding p.88 2.5 Graphing Techniques: Transformations Assess Your Understanding p.101 2.6 Mathematical Models: Building Functions Assess Your Understanding p.107 Review Exercises p.111 Chapter Test p.114 Cumulative Review p.115

### Chapter 3

 3.1 Linear Functions and Their Properties Assess Your Understanding p.124 3.2 Building Linear Functions from Data Assess Your Understanding p.130 3.3 Quadratic Functions and Their Properties Assess Your Understanding p.142 3.4 Quadratic Models; Building Quadratic Functions from Data Assess Your Understanding p.150 3.5 Inequalities Involving Quadratic Functions Assess Your Understanding p.156 Review Exercises p.158 Chapter Test p.160 Cumulative Review p.161

### Chapter 4

Polynomial And Rational Functions

 4.1 Polynomial Functions and Models Assess Your Understanding p.179 4.2 Properties of Rational Functions Assess Your Understanding p.192 4.3 The Graph of a Rational Function Assess Your Understanding p.206 4.4 Polynomial and Rational Inequalities Assess Your Understanding p.213 4.5 The Real Zeros of a Polynomial Function Assess Your Understanding p.226 4.6 Complex Zeros; Fundamental Theorem of Algebra Assess Your Understanding p.233 Review Exercises p.236 Cumulative Review p.238 Chapter Test p.238

### Chapter 5

Exponential And Logarithmic Functions

 5.1 Composite Functions Assess Your Understanding p.247 5.2 One-to-One Functions; Inverse Functions Assess Your Understanding p.259 5.3 Exponential Functions Assess Your Understanding p.272 5.4 Logarithmic Functions Assess Your Understanding p.286 5.5 Properties of Logarithms Assess Your Understanding p.297 5.6 Logarithmic and Exponential Equations Assess Your Understanding p.303 5.7 Compound Interest Assess Your Understanding p.312 5.8 Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Models Assess Your Understanding p.324 5.9 Building Exponential, Logarithmic, and Logistic Models from Data Assess Your Understanding p.331 Review Exercises p.336 Chapter Test p.340 Cumulative Review p.341

### Chapter 6

Trigonometric Functions

 6.1 Angles and Their Measure Assess Your Understanding p.353 6.2 Trigonometric Functions: Unit Circle Approach Assess Your Understanding p.369 6.3 Properties of the Trigonometric Functions Assess Your Understanding p.383 6.4 Graphs of the Sine and Cosine Functions Assess Your Understanding p.396 6.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions Assess Your Understanding p.406 6.6 Phase Shift; Sinusoidal Curve Fitting Assess Your Understanding p.416 Review Exercises p.421 Chapter Test p.424 Cumulative Review p.425

### Chapter 7

Analytic Trigonometry

 7.1 The Inverse Sine, Cosine, and Tangent Functions Assess Your Understanding p.437 7.2 The Inverse Trigonometric Functions (Continued) Assess Your Understanding p.444 7.3 Trigonometric Identities Assess Your Understanding p.450 7.4 Sum and Difference Formulas Assess Your Understanding p.460 7.5 Double-angle and Half-angle Formulas Assess Your Understanding p.469 7.6 Product-to-Sum and Sum-to-Product Formulas Assess Your Understanding p.474 7.7 Trigonometric Equations (I) Assess Your Understanding p.479 7.8 Trigonometric Equations (II) Assess Your Understanding p.487 Review Exercises p.490 Chapter Test p.492 Cumulative Review p.493

### Chapter 8

Applications Of Trigonometric Functions

 8.1 Applications Involving Right Triangles Assess Your Understanding p.504 8.2 The Law of Sines Assess Your Understanding p.515 8.3 The Law of Cosines Assess Your Understanding p.522 8.4 Area of a Triangle Assess Your Understanding p.528 8.5 Simple Harmonic Motion; Damped Motion; Combining Waves Assess Your Understanding p.538 Review Exercises p.541 Chapter Test p.545 Cumulative Review p.546

### Chapter 9

Polar Coordinates; Vectors

 9.1 Polar Coordinates Assess Your Understanding p.556 9.2 Polar Equations and Graphs Assess Your Understanding p.571 9.3 The Complex Plane; DeMoivre's Theorem Assess Your Understanding p.580 9.4 Vectors Assess Your Understanding p.591 9.5 The Dot Product Assess Your Understanding p.599 9.6 Vectors in Space Assess Your Understanding p.609 9.7 The Cross Product Assess Your Understanding p.615 Review Exercises p.617 Chapter Test p.620 Cumulative Review p.620

### Chapter 10

Analytic Geometry

 10.2 The Parabola Assess Your Understanding p.631 10.3 The Ellipse Assess Your Understanding p.641 10.4 The Hyperbola Assess Your Understanding p.653 10.5 Rotation of Axes; General Form of a Conic Assess Your Understanding p.662 10.6 Polar Equations of Conics Assess Your Understanding p.668 10.7 Plane Curves and Parametric Equations Assess Your Understanding p.679 Review Exercises p.683 Cumulative Review p.685 Chapter Test p.685

### Chapter 11

Systems Of Equations And Inequalities

 11.1 Systems of Linear Equations: Substitution and Elimination Assess Your Understanding p.699 11.2 Systems of Linear Equations: Matrices Assess Your Understanding p.714 11.3 Systems of Linear Equations: Determinants Assess Your Understanding p.725 11.4 Matrix Algebra Assess Your Understanding p.741 11.5 Partial Fraction Decomposition Assess Your Understanding p.749 11.6 Systems of Nonlinear Equations Assess Your Understanding p.756 11.7 Systems of Inequalities Assess Your Understanding p.764 11.8 Linear Programming Assess Your Understanding p.771 Review Exercises p.774 Chapter Test p.777 Cumulative Review p.778

### Chapter 12

Sequences; Induction; The Binomial Theorem

 12.1 Sequences Assess Your Understanding p.788 12.2 Arithmetic Sequences Assess Your Understanding p.796 12.3 Geometric Sequences; Geometric Series Assess Your Understanding p.806 12.4 Mathematical Induction Assess Your Understanding p.812 12.5 The Binomial Theorem Assess Your Understanding p.818 Review Exercises p.820 Chapter Test p.822 Cumulative Review p.822

### Chapter 13

Counting And Probability

 13.1 Counting Assess Your Understanding p.830 13.2 Permutations and Combinations Assess Your Understanding p.837 13.3 Probability Assess Your Understanding p.847 Review Exercises p.851 Chapter Test p.852 Cumulative Review p.853

### Chapter 14

A Preview Of Calculus: The Limit, Derivative, ...

 14.1 Finding Limits Using Tables and Graphs Assess Your Understanding p.859 14.2 Algebra Techniques for Finding Limits Assess Your Understanding p.867 14.3 One-sided Limits; Continuous Functions Assess Your Understanding p.873 14.4 The Tangent Problem; The Derivative Assess Your Understanding p.881 14.5 The Area Problem; The Integral Assess Your Understanding p.888 Review Exercises p.890 Chapter Test p.893