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Part of the market-leading Graphing Approach series by Larson, Hostetler, and Edwards, Precalculus: 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 (see below for description) 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. P. Prerequisites P.1 Real Numbers P.2 Exponents and Radicals P.3 Polynomials and Factoring P.4 Rational Expressions P.5 The Cartesian Plane P.6 Representing Data Graphically 1. Functions and Their Graphs Introduction to Library of Parent Functions 1.1 Graphs of Equations 1.2 Lines in the Plane 1.3 Functions 1.4 Graphs of Functions 1.5 Shifting, Reflection, and Stretching Graphs 1.6 Combinations of Functions 1.7 Inverse Functions 2. Solving Equations and Inequalities 2.1 Linear Equations and Problem Solving 2.2 Solving Equations Graphically 2.3 Complex Numbers 2.4 Solving Quadratic Equations Algebraically 2.5 Solving Other Types of Equations Algebraically 2.6 Solving Inequalities Algebraically and Graphically 2.7 Linear Models and Scatter Plots Cumulative Test: Chapters P-2 Progressive Summary: Chapters P-2 3. Polynomial and Rational Functions 3.1 Quadratic Functions 3.2 Polynomial Functions of Higher Degree 3.3 Real Zeros of Polynomial Functions 3.4 The Fundamental Theorem of Algebra 3.5 Rational Functions and Asymptotes 3.6 Graphs of Rational Functions 3.7 Quadratic Models 4. Exponential and Logarithmic Functions 4.1 Exponential Functions and Their Graphs 4.2 Logarithmic Functions and Their Graphs 4.3 Properties of Logarithms 4.4 Solving Exponential and Logarithmic Equations 4.5 Exponential and Logarithmic Models 4.6 Nonlinear Models Progressive Summary: Chapters P-4 5. Trigonometric Functions 5.1 Angles and Their Measure 5.2 Right Triangle Trigonometry 5.3 Trigonometric Functions of Any Angle 5.4 Graphs of Sine and Cosine Functions 5.5 Graphs of Other Trigonometric Functions 5.6 Inverse Trigonometric Functions 5.7 Applications and Models 6. Analytic Trigonometry 6.1 Using Fundamental Identities 6.2 Verifying Trigonometric Identities 6.3 Solving Trigonometric Equations 6.4 Sum and Difference Formulas 6.5 Multiple-Angle and Product-to-Sum Formulas 7. Additional Topics in Trigonometry 7.1 Law of Sines 7.2 Law of Cosines 7.3 Vectors in the Plane 7.4 Vectors and Dot Products 7.5 Trigonometric Form of a Complex Number Cumulative Test: Chapters 5-7 Progressive Summary: Chapters P-7 8. Linear Systems and Matrices 8.1 Solving Systems of Equations 8.2 Systems of Linear Equations in Two Variables 8.3 Multivariable Linear Systems 8.4 Matrices and Systems of Equations 8.5 Operations with Matrices 8.6 The Inverse of a Square Matrix 8.7 The Determinant of a Square Matrix 8.8 Applications of Matrices and Determinants 9. Sequences, Series, and Probability 9.1 Sequences and Series 9.2 Arithmetic Sequences and Partial Sums 9.3 Geometric Sequences and Series 9.4 Mathematical Induction 9.5 The Binomial Theorem 9.6 Counting Principals 9.7 Probability 10. Topics in Analytic Geometry 10.1 Conics: Circles and Parabolas 10.2 Conics: Ellipses 10.3 Conics: Hyperbolas 10.4 Parametric Equations 10.5 Polar Coordinates 10.6 Graphs of Polar Equations 10.7 Polar Equations of Conics Cumulative Test: Chapters 8-10 Progressive Summary: Chapters P-10 Appendix A. Technology Support Guide Appendix B. Concepts in Statistics B.1 Measures of Central Tendency and Dispersion B.2 Least Squares Regression Appendix C. Variation Appendix D. Solving Linear Equations and Inequalities Appendix E. Systems of Inequalities E.1 Solving Systems of Inequalities E.2 Linear Programming Appendix F. Study Capsules