Table of Contents

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
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
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
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
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
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
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
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
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
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
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

Precalculus: Functions and Graphs, 4th edition

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