Precalculus : Functions and Graphs

For courses in Precalculus. The Right Tools to Drive Your Success Dugopolski's Precalculus: Functions and Graphs, Fourth Edition gives students the essential strategies they need to make the transition to calculus. Along the way, students see how the algebra connects to their future calculus courses, with tools like Foreshadowing Calculus and Concepts of Calculus. The author's emphasis on problem solving and critical thinking is enhanced by a new MyMathLab course, where students will find new Video Assessment questions tied to section lecture videos; Getting Ready material to help learn necessary prerequisite skills; Guided Visualizations, and more! Also available with MyMathLab MyMathLab is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts. This Media Update features an enhanced MyMathLab course. This © 2017 version of the textbook is completely compatible with the earlier © 2013 version. Note: You are purchasing a standalone product; MyLabTM & MasteringTM does not come packaged with this content. Students, if interested in purchasing this title with MyLab & Mastering, ask your instructor for the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information. If you would like to purchase both the physical text and MyLab & Mastering, search for: 0134265300 / 9780134265308 Precalculus: Functions and Graphs, MyMathLab Update Plus MyMathLab with Pearson eText -- Access Card Package 4/e Package consists of: 0134429389 / 9780134429380 Sticker for Precalculus: Functions and Graphs, MyMathLab Update 0321431308 / 9780321431301 MyMathLab -- Glue-in Access Card 0321654064 / 9780321654069 MyMathLab Inside Star Sticker 0321789431 / 9780321789433 Precalculus: Functions and Graphs Cover Title Page Copyright Page Contents Preface Acknowledgments Supplements List Function Gallery 1 Equations, Inequalities, and Modeling 1.1 Equations in One Variable 1.2 Constructing Models to Solve Problems 1.3 Equations and Graphs in Two Variables 1.4 Linear Equations in Two Variables 1.5 Scatter Diagrams and Curve Fitting 1.6 Complex Numbers 1.7 Quadratic Equations 1.8 Linear and Absolute Value Inequalities Chapter 1 Highlights Chapter 1 Review Exercises Chapter 1 Test Concepts of Calculus: Limits 2 Functions and Graphs 2.1 Functions 2.2 Graphs of Relations and Functions 2.3 Families of Functions, Transformations, and Symmetry 2.4 Operations with Functions 2.5 Inverse Functions 2.6 Constructing Functions with Variation Chapter 2 Highlights Chapter 2 Review Exercises Chapter 2 Test Tying It All Together Concepts of Calculus: Instantaneous rate of change 3 Polynomial and Rational Functions 3.1 Quadratic Functions and Inequalities 3.2 Zeros of Polynomial Functions 3.3 The Theory of Equations 3.4 Miscellaneous Equations 3.5 Graphs of Polynomial Functions 3.6 Rational Functions and Inequalities Chapter 3 Highlights Chapter 3 Review Exercises Chapter 3 Test Tying It All Together Concepts of Calculus: Instantaneous rate of change of the power functions 4 Exponential and Logarithmic Functions 4.1 Exponential Functions and Their Applications 4.2 Logarithmic Functions and Their Applications 4.3 Rules of Logarithms 4.4 More Equations and Applications Chapter 4 Highlights Chapter 4 Review Exercises Chapter 4 Test Tying It All Together Concepts of Calculus: The instantaneous rate of change of f(x) = e[sup(x)] 5 The Trigonometric Functions 5.1 Angles and Their Measurements 5.2 The Sine and Cosine Functions 5.3 The Graphs of the Sine and Cosine Functions 5.4 The Other Trigonometric Functions and Their Graphs 5.5 The Inverse Trigonometric Functions 5.6 Right Triangle Trigonometry Chapter 5 Highlights Chapter 5 Review Exercises Chapter 5 Test Tying It All Together Concepts of Calculus: Evaluating transcendental functions 6 Trigonometric Identities and Conditional Equations 6.1 Basic Identities 6.2 Verifying Identities 6.3 Sum and Difference Identities 6.4 Double-Angle and Half-Angle Identities 6.5 Product and Sum Identities 6.6 Conditional Trigonometric Equations Chapter 6 Highlights Chapter 6 Review Exercises Chapter 6 Test Tying It All Together Concepts of Calculus: Area of a circle and π 7 Applications of Trigonometry 7.1 The Law of Sines 7.2 The Law of Cosines 7.3 Vectors 7.4 Trigonometric Form of Complex Numbers 7.5 Powers and Roots of Complex Numbers 7.6 Polar Equations 7.7 Parametric Equations Chapter 7 Highlights Chapter 7 Review Exercises Chapter 7 Test Tying It All Together Concepts of Calculus: Limits and asymptotes 8 Systems of Equations and Inequalities 8.1 Systems of Linear Equations in Two Variables 8.2 Systems of Linear Equations in Three Variables 8.3 Nonlinear Systems of Equations 8.4 Partial Fractions 8.5 Inequalities and Systems of Inequalities in Two Variables 8.6 The Linear Programming Model Chapter 8 Highlights Chapter 8 Review Exercises Chapter 8 Test Tying It All Together Concepts of Calculus: Instantaneous rate of change and partial fractions 9 Matrices and Determinants 9.1 Solving Linear Systems Using Matrices 9.2 Operations with Matrices 9.3 Multiplication of Matrices 9.4 Inverses of Matrices 9.5 Solution of Linear Systems in Two Variables Using Determinants 9.6 Solution of Linear Systems in Three Variables Using Determinants Chapter 9 Highlights Chapter 9 Review Exercises Chapter 9 Test Tying It All Together 10 The Conic Sections 10.1 The Parabola 10.2 The Ellipse and the Circle 10.3 The Hyperbola 10.4 Rotation of Axes 10.5 Polar Equations of the Conics Chapter 10 Highlights Chapter 10 Review Exercises Chapter 10 Test Tying It All Together Concepts of Calculus: The reflection property of a parabola 11 Sequences, Series, and Probability 11.1 Sequences 11.2 Series 11.3 Geometric Sequences and Series 11.4 Counting and Permutations 11.5 Combinations, Labeling, and the Binomial Theorem 11.6 Probability 11.7 Mathematical Induction Chapter 11 Highlights Chapter 11 Review Exercises Chapter 11 Test Concepts of Calculus: Limits of sequences Appendix A: Solutions to Try This Exercises Appendix B: Basic Algebra Review B.1 Real Numbers and Their Properties B.2 Exponents and Radicals B.3 Polynomials B.4 Factoring Polynomials B.5 Rational Expressions Credits Answers Index of Applications Archeology Astronomy Biology/Health/Life Sciences Business Chemistry Construction Consumer Design Environment Geometry Investment Miscellaneous Navigation Number Physics Probability Production Science Sports Statistics/Demographics Index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

Making the transition to calculus means being prepared to grasp bigger and more complex mathematical concepts. Precalculus: Functions and Graphs is designed to make this transition seamless, by focusing now on all the skills that you will need in the future. The foundation for success begins with preparation and Precalculus: Functions and Graphs will help you succeed in this course and beyond.