Precalculus Functions and Graphs: A Graphing Approach
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...
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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 Functions1.1 Lines in the Plane1.2 Functions1.3 Graphs of Functions1.4 Shifting, Reflection, and Stretching Graphs1.5 Combinations of Functions1.6 Inverse Functions1.7 Linear Models and Scatter Plots 2.Polynomial and Rational Functions2.1 Quadratic Functions2.2 Polynomial Functions of Higher Degree2.3 Real Zeros of Polynomial Functions2.4 Complex Numbers2.5 The Fundamental Theorem of Algebra2.6 Rational Functions and Asymptotes2.7 Graphs of Rational Functions2.8 Quadratic Models Progressive Summary: Chapters 1-2 3.Exponential and Logarithmic Functions3.1 Exponential Functions and Their Graphs3.2 Logarithmic Functions and Their Graphs3.3 Properties of Logarithms3.4 Solving Exponential and Logarithmic Equations3.5 Exponential and Logarithmic Models3.6 Nonlinear Models Cumulative Review: Chapters 1-3 Progressive Summary: Chapters 1-3 4.Trigonometric Functions4.1 Radian and Degree Measure4.2 Trigonometric Functions: The Unit Circle4.3 Right Triangle Trigonometry4.4 Trigonometric Functions of Any Angle4.5 Graphs of Sine and Cosine Functions4.6 Graphs of Other Trigonometric Functions4.7 Inverse Trigonometric Functions4.8 Applications and Models 5.Analytic Trigonometry5.1 Using Fundamental Identities5.2 Verifying Trigonometric Identities5.3 Solving Trigonometric Equations5.4 Sum and Difference Formulas5.5 Multiple-Angle andProduct-to-Sum Formulas 6.Additional Topics in Trigonometry6.1 Law of Sines6.2 Law of Cosines6.3 Vectors in the Plane6.4 Vectors and Dot Products6.5 Trigonometric Form of a Complex Number Cumulative Test: Chapters 4-6 Progressive Summary: Chapters 1-6 7.Linear Systems and Matrices7.1 Solving Systems of Equations7.2 Systems of Linear Equations in Two Variables7.3 Multivariable Linear Systems7.4 Matrices and Systems of Equations7.5 Operations with Matrices7.6 The Inverse of a Square Matrix7.7 The Determinant of a Square Matrix7.8 Applications of Matrices and Determinants 8.Sequences, Series, and Probability8.1 Sequences and Series8.2 Arithmetic Sequences and Partial Sums8.3 Geometric Sequences and Series8.4 Mathematical Induction8.5 The Binomial Theorem8.6 Counting Principles8.7 Probability 9.Topics in Analytic Geometry9.1 Circles and Parabolas9.2 Ellipses9.3 Hyperbolas9.4 Rotation and Systems of Quadratic Equations9.5 Parametric Equations9.6 Polar Coordinates9.7 Graphs of Polar Equations9.8 Polar Equations of Conics Cumulative Test: Chapters 7-9 Progressive Summary: Chapters 3-9 10.Analytic Geometry in Three Dimensions10.1 The Three-Dimensional Coordinate System10.2 Vectors in Space10.3 The Cross Product of Two Vectors10.4 Lines and Planes in Space 11.Limits and an Introduction to Calculus11.1 Introduction to Limits11.2 Techniques for Evaluating Limits11.3 The Tangent Line Problem11.4 Limits at Infinity and Limits of Sequences11.5 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
