Precalculus: Functions and Graphs, 4th edition

Table of Contents

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 Zeroes 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)= ex
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 Functions
   • Chapter 6 Highlights
   • Chapter 6 Review Exercises
   • Chapter 6 Test
   • Tying it all Together
   • Concepts of Calculus: Area of A Circle and n
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 and Numbers
   • 7-6 Polar 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 Inequalities
   • 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 Series
    • 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

A. Appendix: Solutions to Try This Exercises

B. Appendix: Basic Algebra Review

• B-1 Real Numbers and Their Properties
• B-2 Exponents and Radicals
• B-3 Polynomials
• B-4 Factorials Polynomials
• B-5 Rational Expressions

Credits

Answers to Selected Exercises

Index of Applications

Index