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Part of the market-leading Graphing Approach Series by Larson, Hostetler, and Edwards, Precalculus Functions and Graphs: A Graphing Approach, 5/e, is an ideal student and instructor resource for courses that require the use of a graphing calculator. The quality and quantity of the exercises, combined with interesting applications and innovative resources, make teaching easier and help students succeed. Continuing the series' emphasis on student support, the Fifth Edition introduces Prerequisite Skills Review. For selected examples throughout the text, the Prerequisite Skills Review directs students to previous sections in the text to review concepts and skills needed to master the material at hand. In addition, prerequisite skills review exercises in Eduspace are referenced in every exercise set. The Larson team achieves accessibility through careful writing and design, including examples with detailed solutions that begin and end on the same page, which maximizes the readability of the text. Similarly, side-by-side solutions show algebraic, graphical, and numerical representations of the mathematics and support a variety of learning styles.
Note: Each chapter concludes with a Chapter Summary, Review Exercises, a Chapter Test, and Proofs in Mathematics. 1. Functions and Their Graphs Introduction to Library of Parent Functions 1.1 Lines in the Plane 1.2 Functions 1.3 Graphs of Functions 1.4 Shifting, Reflection, and Stretching Graphs 1.5 Combinations of Functions 1.6 Inverse Functions 1.7 Linear Models and Scatter Plots 2. Polynomial and Rational Functions 2.1 Quadratic Functions 2.2 Polynomial Functions of Higher Degree 2.3 Real Zeros of Polynomial Functions 2.4 Complex Numbers 2.5 The Fundamental Theorem of Algebra 2.6 Rational Functions and Asymptotes 2.7 Graphs of Rational Functions 2.8 Quadratic Models Progressive Summary: Chapters 1-2 3. Exponential and Logarithmic Functions 3.1 Exponential Functions and Their Graphs 3.2 Logarithmic Functions and Their Graphs 3.3 Properties of Logarithms 3.4 Solving Exponential and Logarithmic Equations 3.5 Exponential and Logarithmic Models 3.6 Nonlinear Models Cumulative Review: Chapters 1-3 Progressive Summary: Chapters 1-3 4. Trigonometric Functions 4.1 Radian and Degree Measure 4.2 Trigonometric Functions: The Unit Circle 4.3 Right Triangle Trigonometry 4.4 Trigonometric Functions of Any Angle 4.5 Graphs of Sine and Cosine Functions 4.6 Graphs of Other Trigonometric Functions 4.7 Inverse Trigonometric Functions 4.8 Applications and Models 5. Analytic Trigonometry 5.1 Using Fundamental Identities 5.2 Verifying Trigonometric Identities 5.3 Solving Trigonometric Equations 5.4 Sum and Difference Formulas 5.5 Multiple-Angle and Product-to-Sum Formulas 6. Additional Topics in Trigonometry 6.1 Law of Sines 6.2 Law of Cosines 6.3 Vectors in the Plane 6.4 Vectors and Dot Products 6.5 Trigonometric Form of a Complex Number Cumulative Test: Chapters 4-6 Progressive Summary: Chapters 1-6 7. Linear Systems and Matrices 7.1 Solving Systems of Equations 7.2 Systems of Linear Equations in Two Variables 7.3 Multivariable Linear Systems 7.4 Matrices and Systems of Equations 7.5 Operations with Matrices 7.6 The Inverse of a Square Matrix 7.7 The Determinant of a Square Matrix 7.8 Applications of Matrices and Determinants 8. Sequences, Series, and Probability 8.1 Sequences and Series 8.2 Arithmetic Sequences and Partial Sums 8.3 Geometric Sequences and Series 8.4 Mathematical Induction 8.5 The Binomial Theorem 8.6 Counting Principles 8.7 Probability 9. Topics in Analytic Geometry 9.1 Circles and Parabolas 9.2 Ellipses 9.3 Hyperbolas 9.4 Rotation and Systems of Quadratic Equations 9.5 Parametric Equations 9.6 Polar Coordinates 9.7 Graphs of Polar Equations 9.8 Polar Equations of Conics Cumulative Test: Chapters 7-9 Progressive Summary: Chapters 3-9 10. Analytic Geometry in Three Dimensions 10.1 The Three-Dimensional Coordinate System 10.2 Vectors in Space 10.3 The Cross Product of Two Vectors 10.4 Lines and Planes in Space 11. Limits and an Introduction to Calculus 11.1 Introduction to Limits 11.2 Techniques for Evaluating Limits 11.3 The Tangent Line Problem 11.4 Limits at Infinity and Limits of Sequences 11.5 The Area Problem Cumulative Test: Chapters 10-11 Progressive Summary: Chapters 3-11 Appendix A. Technology Support Guide Appendix B. Review of Graphs, Equations, and Inequalities B.1 The Cartesian Plane B.2 Graphs of Equations B.3 Solving Equations Algebraically and Graphically B.4 Solving Inequalities Algebraically and Graphically B.5 Solving Inequalities Algebraically and Graphically B.6 Representing Data Graphically Appendix C. Concepts in Statistics C.1 Measures of Central Tendency and Dispersion C.2 Least Squares Regression Appendix D. Variation Appendix E. Solving Linear Equations and Inequalities Appendix F. Systems of Inequalities F.1 Solving Systems of Inequalities F.2 Linear Programming Appendix G. Study Capsules