1. Introduction to Functions and Graphs 1.1 Numbers, Data, and Problem Solving 1.2 Visualizing and Graphing Data 1.3 Functions and Their Representations 1.4 Types of Functions 1.5 Functions and Their Rates of Change   2. Linear Functions and Equations 2.1 Linear Functions and Models 2.2 Equations of Lines 2.3 Linear Equations 2.4 Linear Inequalities 2.5 Absolute Value Equations and Inequalities   3. Quadratic Functions and Equations 3.1 Quadratic Functions and Models 3.2 Quadratic Equations and Problem Solving 3.3 Complex Numbers 3.4 Quadratic Inequalities 3.5 Transformations of Graphs   4. More Nonlinear Functions and Equations 4.1 More Nonlinear Functions and Their Graphs 4.2 Polynomial Functions and Models 4.3 Division of Polynomials 4.4 Real Zeros of Polynomial Functions 4.5 The Fundamental Theorem of Algebra 4.6 Rational Functions and Models 4.7 More Equations and Inequalities 4.8 Radical Equations and Power Functions   5. Exponential and Logarithmic Functions 5.1 Combining Functions 5.2 Inverse Functions and Their Representations 5.3 Exponential Functions and Models 5.4 Logarithmic Functions and Models 5.5 Properties of Logarithms 5.6 Exponential and Logarithmic Equations 5.7 Constructing Nonlinear Models   6. Systems of Equations and Inequalities 6.1 Functions and Systems of Equations in Two Variables 6.2 Systems of Inequalities in Two Variables 6.3 Systems of Linear Equations in Three Variables 6.4 Solutions to Linear Systems Using Matrices 6.5 Properties and Applications of Matrices 6.6 Inverses of Matrices 6.7 Determinants   Reference: Basic Concepts from Algebra and Geometry R.1 Formulas from Geometry R.2 Integer Exponents R.3 Polynomial Expressions R.4 Factoring Polynomials R.5 Rational Expressions R.6 Radical Notation and Rational Exponents R.7 Radical Expressions   Appendix A: Using the Graphing Calculator Appendix B: A Library of Functions Appendix C: Partial Fractions  

Getting Started pointers help students develop an overall problem-solving strategy before they begin writing a detailed solution. These appear in examples that require multistep solutions. Hundreds of new examples and exercises have been added throughout the text. Real-world data, critical to this approach, are updated throughout so that examples, applications, and chapter and section openers are relevant for today’s students. Each exercise set has been carefully revised to ensure that there are sufficient types of exercises for each example and mathematical concept. Exercise sets are carefully graded with several levels of difficulty. MathXL® and MyMathLab® have been expanded to provide more support to instructors and students. 70% more exercises have been added to the new edition in both MathXL and MyMathLab, giving instructors more flexibility when assigning homework and practice. Sample homework assignments are pre-selected by the author for each section. These are indicated in the Annotated Instructor Edition by a red underline within the end-of-section exercise sets, and the homework sets are assignable in MyMathLab. “Why Math Matters” Animations accompany select applications to help illustrate these concepts for students. Explorations are guided-discovery projects (in PDF), created by Nolan Mitchell (Chemeketa Community College), and can be assigned as class work or homework. These projects can be submitted via digital dropbox and graded by the instructor. Answers to the Explorations are posted under Instructor Resources. Animations were also created by Nolan Mitchell and use GeoGebra. These animations are a collection of interactive discovery exercises designed to help students better understand functions and their graphs. Sample homework assignments are pre-selected by the authors for each section. These are indicated in the Annotated Instructor Edition by a red underline within the end-of-section exercise sets, and the homework sets are assignable in MyMathLab.    Changes to the Content and Organization Chapter 1 has been expanded from four sections to five sections. Increasing and decreasing functions, average rate of change, and the difference quotients are discussed in Section 1.5. Circles now appear in Section 1.2 instead of Chapter R. In Chapter 2, piecewise-linear functions are now discussed earlier in Section 2.1. Complex numbers have been moved to Chapter 3 in a new section. Chapter 4 has been expanded and reorganized from seven to eight sections, making it easier to cover one section per class. Division of polynomials and real zeros of polynomial functions are now in separate sections. Several topics, such as rational functions, have been revised and enhanced. In Chapter 5 the change of base formula is now presented in Section 5.4, and additional modeling has been included in Section 5.7. The first two sections in Chapter 6 have been reorganized so that systems of equations are discussed in Section 6.1 and systems of inequalities and linear programming are discussed in Section 6.2. Substitution and elimination are both presented in Section 6.1. In Chapter R, additional problems involving factoring and rational expressions have been included. Appendix C, Partial Fractions is included for students who need this topic for calculus.