### Chapter 1

Linear Relations And Functions

 1.1 Relations and Functions Check For Understanding p.8 Exercises p.10 1.2 Composition of Functions Exercises p.17 Check For Understanding p.17 1.3 Graphing Linear Equations Check For Understanding p.23 Exercises p.24 1.4 Writing Linear Equations Check For Understanding p.29 Exercises p.30 Mid-Chapter Quiz p.31 1.5 Writing Equations of Parallel and Perpendicular Lines Check For Understanding p.35 Exercises p.36 1.6 Real-World Data with Linear Functions Check For Understanding p.41 Exercises p.42 1.7 Piecewise Functions Check For Understanding p.48 Exercises p.49 1.8 Graphing Linear Inequalities Check For Understanding p.54 Exercises p.55 Understanding and Using the Vocabulary p.57 Skills and Concepts p.58 Applications and Problem Solving p.61

### Chapter 2

Systems Of Linear Equations And Inequalities

 2.1 Solving Systems of Equations in Two Variables Check For Understanding p.70 Exercises p.71 2.2 Solving Systems of Equations in Three Variables Check For Understanding p.76 Exercises p.76 2.3 Real-World Data with Matrices Check For Understanding p.82 Exercises p.83 2.4 Motion with Matrices Check For Understanding p.92 Exercises p.93 Mid-Chapter Quiz p.96 2.5 Determinants and Multiplicative Inverses of Matrices Exercises p.102 Check For Understanding p.102 2.6 Solving Systems of Linear Inequalities Check For Understanding p.109 Exercises p.110 2.7 Linear Programming Check For Understanding p.115 Exercises p.116 Understanding and Using the Vocabulary p.119 Skills and Concepts p.120 Applications and Problem Solving p.123

### Chapter 3

The Nature Of Graphs

 3.1 Symmetry and Coordinate Graphs Check For Understanding p.133 Exercises p.134 3.2 Families of Graphs Check For Understanding p.142 Exercises p.143 3.3 Graphs of Nonlinear Inequalities Check For Understanding p.149 Exercises p.150 Mid-Chapter Quiz p.151 3.4 Inverse Functions and Relations Check For Understanding p.155 Exercises p.156 3.5 Continuity and End Behavior Check For Understanding p.165 Exercises p.166 3.6 Critical Points and Extrema Check For Understanding p.176 Exercises p.177 3.7 Graphs of Rational Functions Check For Understanding p.185 Exercises p.186 3.8 Direct, Inverse, and Joint Variation Check For Understanding p.193 Exercises p.194 Understanding and Using the Vocabulary p.197 Skills and Concepts p.198 Applications and Problem Solving p.201

### Chapter 4

Polynomial And Rational Functions

 4.1 Polynomial Functions Check For Understanding p.209 Exercises p.210 4.2 Quadratic Equations Check For Understanding p.218 Exercises p.219 4.3 The Remainder and Factor Theorems Check For Understanding p.226 Exercises p.226 4.4 The Rational Root Theorem Check For Understanding p.233 Exercises p.234 Mid-Chapter Quiz p.235 4.5 Locating Zeros of a Polynomial Function Check For Understanding p.239 Exercises p.240 4.6 Rational Equations and Partial Fractions Exercises p.247 Check For Understanding p.247 4.7 Radical Equations and Inequalities Check For Understanding p.254 Exercises p.255 4.8 Real-World Data with Polynomial Functions Check For Understanding p.261 Exercises p.262 Understanding and Using the Vocabulary p.267 Skills and Concepts p.268 Applications and Problem Solving p.271

### Chapter 5

The Trigonometric Functions

 5.1 Angles and Degree Measure Check For Understanding p.280 Exercises p.281 5.2 Trigonometric Ratios in Right Triangles Check For Understanding p.287 Exercises p.288 5.3 Trigonometric Functions on the Unit Circle Check For Understanding p.296 Exercises p.296 5.4 Applying Trigonometric Functions Check For Understanding p.301 Exercises p.302 Mid-Chapter Quiz p.304 5.5 Solving Right Triangles Check For Understanding p.308 Exercises p.309 5.6 The Law of Sines Exercises p.316 Check For Understanding p.316 5.7 The Ambiguous Case for the Law of Sines Check For Understanding p.324 Exercises p.324 5.8 The Law of Cosines Check For Understanding p.330 Exercises p.331 Understanding and Using the Vocabulary p.335 Skills and Concepts p.336 Applications and Problem Solving p.339

### Chapter 6

Graphs Of Trigonometric Functions

 6.1 Angles and Radian Measure Check For Understanding p.347 Exercises p.348 6.2 Linear and Angular Velocity Exercises p.355 Check For Understanding p.355 6.3 Graphing Sine and Cosines Functions Check For Understanding p.363 Exercises p.363 6.4 Amplitude and Period of Sine and Cosine Functions Check For Understanding p.372 Exercises p.373 Mid-Chapter Quiz p.377 6.5 Translations of Sine and Cosine Functions Check For Understanding p.383 6.6 Real-World Data with Sinusoidal Functions Check For Understanding p.390 Exercises p.391 6.7 Graphing Other Trigonometric Functions Exercises p.400 Check For Understanding p.400 6.8 Trigonometric Inverses and Their Graphs Check For Understanding p.410 Exercises p.410 Exercises p.413 Skills and Concepts p.414 Applications and Problem Solving p.417

### Chapter 7

Trigonometric Identities And Equations

 7.1 Basic Trigonometric Identities Check For Understanding p.427 Exercises p.427 7.2 Verifying Trigonometric Identities Check For Understanding p.433 Exercises p.434 7.3 Sum and Difference Identities Check For Understanding p.441 Exercises p.442 Mid-Chapter Quiz p.445 7.4 Double-Angle and Half-Angle Identities Check For Understanding p.453 Exercises p.454 7.5 Solving Trigonometric Equations Exercises p.459 Check For Understanding p.459 7.6 Normal Form of a Linear Equation Exercises p.467 Check For Understanding p.467 7.7 Distance From a Point to a Line Check For Understanding p.474 Exercises p.475 Understanding and Using the Vocabulary p.477 Skills and Concepts p.478 Applications and Problem Solving p.481

### Chapter 8

Vectors And Parametric Equations

 8.1 Geometric Vectors Check For Understanding p.490 Exercises p.491 8.2 Algebraic Vectors Check For Understanding p.496 Exercises p.497 8.3 Vectors in Three-Dimensional Space Check For Understanding p.502 Exercises p.503 8.4 Perpendicular Vectors Check For Understanding p.508 Exercises p.509 Mid-Chapter Quiz p.511 8.5 Applications with Vectors Check For Understanding p.516 Exercises p.517 8.6 Vectors and Parametric Equations Check For Understanding p.523 Exercises p.524 8.7 Motion Using Parametric Equations Exercises p.531 8.6 Vectors and Parametric Equations Check For Understanding p.531 8.8 Transformational Matrices in Three-Dimensional Space Check For Understanding p.539 Exercises p.540 Understanding and Using the Vocabulary p.543 Skills and Concepts p.544 Applications and Problem Solving p.547

### Chapter 9

Polar Coordinates And Complex Numbers

 Check For Understanding p.557 9.1 Polar Coordinates Exercises p.558 9.2 Graphs of Polar Equations Exercises p.565 Check For Understanding p.565 9.3 Polar and Rectangular Coordinates Check For Understanding p.571 Exercises p.572 9.4 Polar Form of a Linear Equation Check For Understanding p.577 Exercises p.578 Mid-Chapter Quiz p.579 9.5 Simplifying Complex Numbers Exercises p.583 Check For Understanding p.583 9.6 The Complex Plane and Polar Form of Complex Numbers Check For Understanding p.589 Exercises p.590 9.7 Products and Quotients of Complex Numbers in Polar Form Check For Understanding p.596 Exercises p.596 9.8 Powers and Roots of Complex Numbers Check For Understanding p.604 Exercises p.605 Understanding and Using the Vocabulary p.607 Skills and Concepts p.608 Applications and Problem Solving p.611

### Chapter 10

Conics

 10.1 Introduction to Analytic Geometry Check For Understanding p.619 Exercises p.620 10.2 Circles Exercises p.627 Check For Understanding p.627 10.3 Ellipses Check For Understanding p.637 Exercises p.638 10.4 Hyperbolas Check For Understanding p.649 Exercises p.650 10.5 Parabolas Check For Understanding p.658 Exercises p.659 Mid-Chapter Quiz p.661 10.6 Rectangular and Parametric Forms of Conic Sections Check For Understanding p.667 Exercises p.667 10.7 Transformations of Conics Check For Understanding p.674 Exercises p.675 10.8 Systems of Second-Degree Equations and Inequalities Exercises p.682 Check For Understanding p.682 Understanding and Using the Vocabulary p.687 Skills and Concepts p.688 Applications and Problem Solving p.691

### Chapter 11

Exponential And Logarithmic Functions

 11.1 Real Exponents Check For Understanding p.700 Exercises p.700 11.2 Exponential Functions Exercises p.708 Check For Understanding p.708 11.3 The Number "e" Check For Understanding p.714 Exercises p.714 Mid-Chapter Quiz p.717 11.4 Logarithmic Functions Check For Understanding p.722 Exercises p.723 11.5 Common Logarithms Exercises p.730 Check For Understanding p.730 11.6 Natural Logarithms Check For Understanding p.735 Exercises p.736 11.7 Real-World Data with Exponential and Logarithmic Functions Check For Understanding p.744 Exercises p.745 Understanding and Using the Vocabulary p.749 Skills and Concepts p.750 Applications and Problem Solving p.753

### Chapter 12

Sequences And Series

 12.1 Arithmetic Sequences and Series Exercises p.762 12.2 Geometric Sequences and Series Exercises p.771 12.3 Infinite Sequences and Series Exercises p.780 12.4 Convergent and Divergent Series Exercises p.790 Mid-Chapter Quiz p.793 12.5 Sigma Notation and the nth Term Exercises p.797 12.6 The Binomial Theorem Exercises p.803 12.7 Special Sequences and Series Exercises p.811 12.8 Sequences and Iteration Exercises p.819 12.9 Mathematical Induction Exercises p.826 Study Guide and Assessment p.829

### Chapter 13

Combinatorics And Probability

 13.1 Permutations and Combinations Exercises p.842 13.2 Permutations with Repetitions and Circular Permutations Exercises p.848 13.3 Probability and Odds Exercises p.855 Mid-Chapter Quiz p.858 13.4 Probabilities of Compound Events Exercises p.863 13.5 Conditional Probability Exercises p.870 13.6 The Binomial Theorem and Probability Exercises p.878 Study Guide and Assessment p.881

### Chapter 14

Statistics And Data Analysis

 14.1 The Frequency Distribution Exercises p.892 14.2 Measures of Central Tendency Exercises p.903 14.3 Measures of Variability Exercises p.914 Mid-Chapter Quiz p.917 14.4 The Normal Distribution Exercises p.922 14.5 Sample Sets of Data Exercises p.930 Study Guide and Assessment p.933

### Chapter 15

Introduction To Calculus

 15.1 Limits Exercises p.946 15.2 Derivatives and Antiderivatives Exercises p.957 Mid-Chapter Quiz p.960 15.3 Area Under a Curve Exercises p.966 15.4 The Fundamental Theorem of Calculus Exercises p.972 Study Guide and Assessment p.977