### Chapter 1

Equations And Inequalities

### Chapter 2

Graphs

 2.1 The Distance and Midpoint Formulas Assess Your Understanding p.160 2.2 Graphs of Equations in Two Variables; Intercepts; Symmetry Assess Your Understanding p.171 2.3 Lines Assess Your Understanding p.185 2.4 Circles Assess Your Understanding p.193 2.5 Variation Assess Your Understanding p.199 Review Exercises p.202 Cumulative Review p.204 Chapter Test p.204

### Chapter 3

Functions And Their Graphs

 3.1 Functions Assess Your Understanding p.219 3.2 The Graph of a Function Assess Your Understanding p.226 3.3 Properties of Functions Assess Your Understanding p.238 3.4 Library of Functions; Piecewise-defined Functions Assess Your Understanding p.248 3.5 Graphing Techniques; Transformations Assess Your Understanding p.261 3.6 Mathematical Models: Building Functions Assess Your Understanding p.267 Review Exercises p.271 Chapter Test p.274 Cumulative Review p.275

### Chapter 4

 4.1 Linear Functions and Their Properties Assess Your Understanding p.284 4.2 Building Linear Functions from Data Assess Your Understanding p.290 4.3 Quadratic Functions and Their Properties Assess Your Understanding p.302 4.4 Quadratic Models; Building Quadratic Functions from Data Assess Your Understanding p.310 4.5 Inequalities Involving Quadratic Functions Assess Your Understanding p.316 Review Exercises p.318 Chapter Test p.320 Cumulative Review p.321

### Chapter 5

Polynomial And Rational Functions

 5.1 Polynomial Functions and Models Assess Your Understanding p.339 5.2 Properties of Rational Functions Assess Your Understanding p.352 5.3 The Graph of a Rational Function Assess Your Understanding p.366 5.4 Polynomial and Rational Inequalities Assess Your Understanding p.373 5.5 The Real Zeros of a Polynomial Function Assess Your Understanding p.386 5.6 Complex Zeros; Fundamental Theorem of Algebra Assess Your Understanding p.393 Review Exercises p.396 Cumulative Review p.398 Chapter Test p.398

### Chapter 6

Exponential And Logarithmic Functions

 6.1 Composite Functions Assess Your Understanding p.407 6.2 One-to-One Functions; Inverse Functions Assess Your Understanding p.419 6.3 Exponential Functions Assess Your Understanding p.432 6.4 Logarithmic Functions Assess Your Understanding p.446 6.5 Properties of Logarithms Assess Your Understanding p.457 6.6 Logarithmic and Exponential Equations Assess Your Understanding p.463 6.7 Compound Interest Assess Your Understanding p.472 6.8 Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Models Assess Your Understanding p.484 6.9 Building Exponential, Logarithmic, and Logistic Models from Data Assess Your Understanding p.491 Review Exercises p.496 Chapter Test p.500 Cumulative Review p.501

### Chapter 7

Trigonometric Functions

 7.1 Angles and Their Measure Assess Your Understanding p.513 7.2 Right Triangle Trigonometry Assess Your Understanding p.525 7.3 Computing the Values of Trigonometric Functions of Acute Angles Assess Your Understanding p.536 7.4 Trigonometric Functions of General Angles Assess Your Understanding p.548 7.5 Unit Circle Approach; Properties of the Trigonometric Functions Assess Your Understanding p.557 7.6 Graphs of the Sine and Cosine Functions Assess Your Understanding p.570 7.7 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions Assess Your Understanding p.579 7.8 Phase Shift; Sinusoidal Curve Fitting Assess Your Understanding p.589 Review Exercises p.594 Chapter Test p.598 Cumulative Review p.598

### Chapter 8

Analytic Trigonometry

 8.1 The Inverse Sine, Cosine, and Tangent Functions Assess Your Understanding p.611 8.2 The Inverse Trigonometric Functions Assess Your Understanding p.618 8.3 Trigonometric Identities Assess Your Understanding p.624 8.4 Sum and Difference Formulas Assess Your Understanding p.634 8.5 Double-angle and Half-angle Formulas Assess Your Understanding p.643 8.6 Product-to-Sum and Sum-to-Product Formulas Assess Your Understanding p.648 8.7 Trigonometric Equations (I) Assess Your Understanding p.653 8.8 Trigonometric Equations (II) Assess Your Understanding p.661 Review Exercises p.664 Chapter Test p.666 Cumulative Review p.667

### Chapter 9

Applications Of Trigonometric Functions

 9.1 Applications Involving Right Triangles Assess Your Understanding p.673 9.2 The Law of Sines Assess Your Understanding p.682 9.3 The Law of Cosines Assess Your Understanding p.689 9.4 Area of a Triangle Assess Your Understanding p.694 9.5 Simple Harmonic Motion; Damped Motion; Combining Waves Assess Your Understanding p.704 Review Exercises p.707 Chapter Test p.710 Cumulative Review p.711

### Chapter 10

Polar Coordinates; Vectors

 10.1 Polar Coordinates Assess Your Understanding p.720 10.2 Polar Equations and Graphs Assess Your Understanding p.735 10.3 The Complex Plane; DeMoivre's Theorem Assess Your Understanding p.744 10.4 Vectors Assess Your Understanding p.755 10.5 The Dot Product Assess Your Understanding p.763 Review Exercises p.766 Chapter Test p.768 Cumulative Review p.769

### Chapter 11

Analytic Geometry

 11.2 The Parabola Assess Your Understanding p.779 11.3 The Ellipse Assess Your Understanding p.789 11.4 The Hyperbola Assess Your Understanding p.801 11.5 Rotation of Axes; General Form of a Conic Assess Your Understanding p.810 11.6 Polar Equations of Conics Assess Your Understanding p.816 11.7 Plane Curves and Parametric Equations Assess Your Understanding p.827 Review Exercises p.831 Cumulative Review p.833 Chapter Test p.833

### Chapter 12

Systems Of Equations And Inequalities

 12.1 Systems of Linear Equations: Substitution and Elimination Assess Your Understanding p.847 12.2 Systems of Linear Equations: Matrices Assess Your Understanding p.862 12.3 Systems of Linear Equations: Determinants Assess Your Understanding p.873 12.4 Matrix Algebra Assess Your Understanding p.889 12.5 Partial Fraction and Decomposition Assess Your Understanding p.897 12.6 Systems of Nonlinear Equations Assess Your Understanding p.904 12.7 Systems of Inequalities Assess Your Understanding p.912 12.8 Linear Programming Assess Your Understanding p.919 Review Exercises p.922 Chapter Test p.925 Cumulative Review p.926

### Chapter 13

Sequences; Induction; The Binomial Theorem

 13.1 Sequences Assess Your Understanding p.936 13.2 Arithmetic Sequences Assess Your Understanding p.944 13.3 Geometric Sequences; Geometric Series Assess Your Understanding p.954 13.4 Mathematical Induction Assess Your Understanding p.960 13.5 The Binomial Theorem Assess Your Understanding p.966 Review Exercises p.968 Chapter Test p.970 Cumulative Review p.970

### Chapter 14

Counting And Probability

 14.1 Counting Assess Your Understanding p.978 14.2 Permutations and Combinations Assess Your Understanding p.985 14.3 Probability Assess Your Understanding p.995 Review Exercises p.999 Chapter Test p.1000 Cumulative Review p.1001

### Chapter R

Review

 R.1 Real Numbers Assess Your Understanding p.15 R.2 Algebra Essentials Assess Your Understanding p.26 R.3 Geometry Essentials Assess Your Understanding p.36 R.4 Polynomials Assess Your Understanding p.47 R.5 Factoring Polynomials Assess Your Understanding p.56 R.6 Synthetic Division Assess Your Understanding p.60 R.7 Rational Expressions Assess Your Understanding p.69 R.8 nth Roots; Rational Exponents Assess Your Understanding p.77 Review Exercises p.81 Chapter Test p.84