### Chapter 1

Functions And Graphs

 1.1 Modeling and Equation Solving Quick Review 1.1 p.75 Section 1.1 Exercises p.76 1.2 Functions and Their Profiles Quick Review 1.2 p.97 Section 1.2 Exercises p.98 1.3 Twelve Basic Functions Quick Review 1.3 p.109 Section 1.3 Exercises p.109 1.4 Building Functions from Functions Section 1.4 Exercises p.127 Quick Review 1.4 p.127 1.5 Graphical Transformations Quick Review 1.5 p.139 Section 1.5 Exercises p.139 1.6 Modeling with Functions Quick Review 1.6 p.152 Section 1.6 Exercises p.152 Chapter 1 Review Exercises p.157

### Chapter 2

Polynomial, Power, And Rational Functions

 2.1 Linear and Quadratic Functions and Modeling Quick Review 2.1 p.175 Section 2.1 Exercises p.175 2.2 Power Functions with Modeling Section 2.2 Exercises p.189 Quick Review 2.2 p.189 2.3 Polynomial Functions of Higher Degree with Modeling Section 2.3 Exercises p.202 Quick Review 2.3 p.202 2.4 Real Zeros of Polynomial Functions Section 2.4 Exercises p.216 Quick Review 2.4 p.216 2.5 Complex Numbers Quick Review 2.5 p.226 Section 2.5 Exercises p.227 2.6 Complex Zeros and the Fundamental Theorem of Algebra Quick Review 2.6 p.234 Section 2.6 Exercises p.234 2.7 Graphs of Rational Functions Quick Review 2.7 p.245 Section 2.7 Exercises p.246 2.8 Solving Equations in One Variable Quick Review 2.8 p.254 Section 2.8 Exercises p.254 2.9 Solving Inequalities in One Variable Quick Review 2.9 p.265 Section 2.9 Exercises p.265 Chapter 2 Review Exercises p.270

### Chapter 3

Exponential, Logistic, And Logarithmic Functions

 3.1 Exponential and Logistic Functions Quick Review 3.1 p.286 Section 3.1 Exercises p.286 3.2 Exponential and Logistic Modeling Quick Review 3.2 p.296 Section 3.2 Exercises p.296 3.3 Logarithmic Functions and Their Graphs Quick Review 3.3 p.308 Section 3.3 Exercises p.308 3.4 Properties of Logarithmic Functions Quick Review 3.4 p.316 Section 3.4 Exercises p.317 3.5 Equation Solving and Modeling Quick Review 3.5 p.330 Section 3.5 Exercises p.331 3.6 Mathematics of Finance Quick Review 3.6 p.342 Section 3.6 Exercises p.342 Chapter 3 Review Exercises p.346

### Chapter 4

Trigonometric Functions

 4.1 Angles and Their Measures Section 4.1 Exercises p.358 Quick Review 4.1 p.358 4.2 Trigonometric Functions of Acute Angles Quick Review 4.2 p.368 Section 4.2 Exercises p.368 4.3 Trigonometry Extended: The Circular Functions Quick Review 4.3 p.382 Section 4.3 Exercises p.383 4.4 Graphs of Sine and Cosine: Sinusoids Quick Review 4.4 p.394 Section 4.4 Exercises p.394 4.5 Graphs of Tangent, Cotangent, Secant, and Cosecant Quick Review 4.5 p.402 Section 4.5 Exercises p.403 4.6 Graphs of Composite Trigonometric Functions Section 4.6 Exercises p.413 Quick Review 4.6 p.413 4.7 Inverse Trigonometric Functions Quick Review 4.7 p.423 Section 4.7 Exercises p.423 4.8 Solving Problems with Trigonometry Quick Review 4.8 p.432 Section 4.8 Exercises p.432 Chapter 4 Review Exercises p.439

### Chapter 5

Analytic Trigonometry

 5.1 Fundamental Identities Section 5.1 Exercises p.451 Quick Review 5.1 p.451 5.2 Proving Trigonometric Identities Section 5.2 Exercises p.460 Quick Review 5.2 p.460 5.3 Sum and Difference Identities Quick Review 5.3 p.468 Section 5.3 Exercises p.468 5.4 Multiple-Angle Identities Quick Review 5.4 p.475 Section 5.4 Exercises p.475 5.5 The Law of Sines Section 5.5 Exercises p.484 Quick Review 5.5 p.484 5.6 The Law of Cosines Quick Review 5.6 p.493 Section 5.6 Exercises p.494 Chapter 5 Review Exercises p.497

### Chapter 6

Vectors, Parametric Equations, And Polar Equations

 6.1 Vectors in the Plane Section 6.1 Exercises p.511 Quick Review 6.1 p.511 6.2 Dot Product of Vectors Section 6.2 Exercises p.519 Quick Review 6.2 p.519 6.3 Parametric Equations and Motion Quick Review 6.3 p.529 Section 6.3 Exercises p.530 6.4 Polar Coordinates Section 6.4 Exercises p.539 Quick Review 6.4 p.539 6.5 Graphs of Polar Equations Quick Review 6.5 p.547 Section 6.5 Exercises p.548 6.6 De Moivre's Theorem and nth Roots Quick Review 6.6 p.557 Section 6.6 Exercises p.558 Chapter 6 Review Exercises p.561

### Chapter 7

Systems And Matrices

 7.1 Solving Systems of Two Equations Section 7.1 Exercises p.573 Quick Review 7.1 p.573 7.2 Matrix Algebra Quick Review 7.2 p.588 Section 7.2 Exercises p.588 7.3 Multivariate Linear Systems and Row Operations Quick Review 7.3 p.601 Section 7.3 Exercises p.602 7.4 Partial Functions Quick Review 7.4 p.612 Section 7.4 Exercises p.612 7.5 Systems of Inequalities in Two Variables Section 7.5 Exercises p.621 Quick Review 7.5 p.621 Chapter 7 Review Exercises p.624

### Chapter 8

Analytic Geometry In Two And Three Dimensions

 8.1 Conic Sections and Parabolas Quick Review 8.1 p.639 Section 8.1 Exercises p.639 8.2 Ellipses Quick Review 8.2 p.651 Section 8.2 Exercises p.652 8.3 Hyperbolas Quick Review 8.3 p.663 Section 8.3 Exercises p.663 8.4 Translation and Rotation of Axes Quick Review 8.4 p.673 Section 8.4 Exercises p.673 8.5 Polar Equations of Conics Quick Review 8.5 p.682 Section 8.5 Exercises p.683 8.6 Three-Dimensional Cartesian Coordinate System Quick Review 8.6 p.694 Section 8.6 Exercises p.695 Chapter 8 Review Exercises p.697

### Chapter 9

Discrete Mathematics

 9.1 Basic Combinatorics Section 9.1 Exercises p.710 Quick Review 9.1 p.710 9.2 The Binomial Theorem Section 9.2 Exercises p.717 Quick Review 9.2 p.717 9.3 Probability Section 9.3 Exercises p.729 Quick Review 9.3 p.729 9.4 Sequences and Series Quick Review 9.4 p.746 Section 9.4 Exercises p.746 9.5 Mathematical Induction Section 9.5 Exercises p.755 Quick Review 9.5 p.755 9.6 Statistics and Data (Graphical) Quick Review 9.6 p.767 Section 9.6 Exercises p.768 9.7 Statistics and Data (Algebraic) Quick Review 9.7 p.782 Section 9.7 Exercises p.783 Chapter 9 Review Exercises p.788

### Chapter 10

An Introduction To Calculus: Limits, Derivatives, And ...

 10.1 Limits and Motion: The Tangent Problem Section 10.1 Exercises p.803 Quick Review 10.1 p.803 10.2 Limits and Motion: The Area Problem Quick Review 10.2 p.812 Section 10.2 Exercises p.812 10.3 More on Limits Quick Review 10.3 p.825 Section 10.3 Exercises p.826 10.4 Numerical Derivatives and Integrals Quick Review 10.4 p.835 Section 10.4 Exercises p.836 Chapter 10 Review Exercises p.840

### Chapter P

Prerequisites

 P.1 Real Numbers Quick Review P.1 p.10 Section P.1 Exercises p.11 P.2 Cartesian Coordinate System Quick Review P.2 p.19 Section P.2 Exercises p.19 P.3 Linear Equations and Inequalities Quick Review P.3 p.28 Section P.3 Exercises p.28 P.4 Lines in the Plane Quick Review P.4 p.40 Section P.4 Exercises p.40 P.5 Solving Equations Graphically, Numerically, and Algebraically Section P.5 Exercises p.50 Quick Review P.5 p.50 P.6 Solving Inequalities Algebraically and Graphically Quick Review P.6 p.58 Section P.6 Exercises p.59 Chapter P Review Exercises p.60