F. Foundations: A Prelude to Functions F.1 The Distance and Midpoint Formulas F.2 Graphs of Equations in Two Variables; Intercepts; Symmetry F.3 Lines F.4 Circles   1. Functions and Their Graphs 1.1 Functions 1.2 The Graph of a Function 1.3 Properties of Functions 1.4 Library of Functions; Piecewise-defined Functions 1.5 Graphing Techniques: Transformations 1.6 Mathematical Models: Constructing Functions 1.7 Building Mathematical Models Using Variation         Chapter Review         Chapter Test         Chapter Projects   2. Linear and Quadratic Functions 2.1 Properties of Linear Functions and Linear Models 2.2 Building Linear Models from Data 2.3 Quadratic Functions and Their Zeros 2.4 Properties of Quadratic Functions 2.5 Inequalities Involving Quadratic Functions 2.6 Building Quadratic Models from Verbal Descriptions and from Data 2.7 Complex Zeros of a Quadratic Function 2.8 Equations and Inequalities Involving the Absolute Value Function         Chapter Review         Chapter Test         Chapter Projects         Cumulative Review   3. Polynomial and Rational Functions 3.1 Polynomial Functions and Models 3.2 The Real Zeros of a Polynomial Function 3.3 Complex Zeros; Fundamental Theorem of Algebra 3.4 Properties of Rational Functions 3.5 The Graph of a Rational Function 3.6 Polynomial and Rational Inequalities Chapter Review Chapter Test Chapter Projects Cumulative Review   4. Exponential and Logarithmic Functions 4.1 Composite Functions 4.2 One-to-One Functions; Inverse Functions 4.3 Exponential Functions 4.4 Logarithmic Functions 4.5 Properties of Logarithms 4.6 Logarithmic and Exponential Equations 4.7 Compound Interest 4.8 Exponential Growth and Decay; Newton’s Law; Logistic Growth and Decay 4.9 Building Exponential, Logarithmic, and Logistic Functions from Data         Chapter Review         Chapter Test         Chapter Projects         Cumulative Review   5. Conics 5.1 Conics 5.2 The Parabola 5.3 The Ellipse 5.4 The Hyperbola         Chapter Review         Chapter Test         Chapter Projects         Cumulative Review   6. Systems of Equations and Inequalities 6.1 Systems of Linear Equations: Substitution and Elimination 6.2 Systems of Linear Equations: Matrices 6.3 Systems of Linear Equations: Determinants 6.4 Matrix Algebra 6.5 Partial Fraction Decomposition 6.6 Systems of Nonlinear Equations 6.7 Systems of Inequalities 6.8 Linear Programming         Chapter Review         Chapter Test         Chapter Projects         Cumulative Review   7. Sequences; Induction; the Binomial Theorem 7.1 Sequences 7.2 Arithmetic Sequences 7.3 Geometric Sequences; Geometric Series 7.4 Mathematical Induction 7.5 The Binomial Theorem         Chapter Review         Chapter Test         Chapter Projects         Cumulative Review   8. Counting and Probability 8.1 Counting 8.2 Permutations and Combinations 8.3 Probability         Chapter Review         Chapter Test         Chapter Projects         Cumulative Review   Appendix A. Review A.1 Algebra Essentials A.2 Geometry Essentials A.3 Polynomials A.4 Factoring Polynomials A.5 Synthetic Division A.6 Rational Expressions A.7 nth Roots; Rational Exponents A.8 Solving Equations A.9 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Jobs A.10 Interval Notation; Solving Inequalities A.11 Complex Numbers   Appendix B. Graphing Utilities B.1 The Viewing Rectangle B.2 Using a Graphing Utility to Graph Equations B.3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry B.4 Using a Graphing Utility to Solve Equations B.5 Square Screens B.6 Using a Graphing Utility to Graph Inequalities B.7 Using a Graphing Utility to Solve Systems of Linear Equations B.8 Using a Graphing Utility to Graph a Polar Equation B.9 Using a Graphing Utility to Graph Parametric Equations   Answers Index

Updated Retain Your Knowledge problems in the exercise set improve student recall of concepts learned earlier in the course. These exercises are assignable in MyLab Math. Updated graphing images throughout each chapter show TI-84 Plus C and Desmos ©  screenshots. Using the graphing technology students are most familiar with, these images help students visualize concepts clearly and make stronger connections among equations, data and graphs in full color. Revised definitions — Definitions have been reviewed and, in a few cases, updated for consistency with those presented in Calculus. For example, in the definitions for increasing/decreasing functions, the word “open” has been deleted, allowing for functions to increase/decrease on any type of interval. The objective “Find the Equation of a Line Given Two Points” in Chapter F, Section 3 has been moved after the objective “Identify the Slope and y-Intercept of a Line from Its Equation.” This allows the authors to express lines in slope-intercept form. Check out the preface for a complete list of features and what's new in this edition. Reach every student with MyLab Skill Builder offers adaptive practicethat is designed to increase students’ ability to complete their assignments. By monitoring student performance on their homework, Skill Builder adapts to each student’s needs and provides just-in-time, in-assignment practice to help them improve their proficiency of key learning objectives. Guided Visualizations help students better understand the visual aspects of key concepts in figure format. The figures are included in MyLab Math as both a teaching and an assignable learning tool. Updated Retain Your Knowledge Exercises support ongoing review at the course level and help students maintain essential skills. They are excellent cumulative review problems and ideal for studying for final exams. Available to assign in MyLab Math and in the text. Learning Catalytics™ helps you generate class discussion, guide your lecture, and promote peer-to-peer learning with real-time analytics. Now available through MyLab Math, Learning Catalytics is an interactive student response tool that uses students’ smartphones, tablets, or laptops to engage them in more sophisticated tasks and thinking. Michael Sullivan III has written Learning Catalytics questions to engage students in your course.