Chapter 1  Linear Functions, Equations, and Inequalities 

1.1  Real Numbers and the Rectangular Coordinate System

1.2  Introduction to Relations and Functions

Reviewing Basic Concepts

1.3  Linear Functions

1.4  Equations of Lines and Linear Models

Reviewing Basic Concepts

1.5  Linear Equations and Inequalities

1.6  Applications of Linear Functions 

Reviewing Basic Concepts

Summary

Review Exercises

Test

Chapter 2  Analysis of Graphs of Functions

2.1  Graphs of Basic Functions and Relations; Symmetry

2.2  Vertical and Horizontal Shifts of Graphs   

2.3  Stretching, Shrinking, and Reflecting Graphs

Reviewing Basic Concepts

2.4  Absolute Value Functions

2.5  Piecewise-Defined Functions

2.6  Operations and Composition

Reviewing Basic Concepts

Summary

Review Exercises

Test

Chapter 3  Polynomial Functions

3.1  Complex Numbers

3.2  Quadratic Functions and Graphs

3.3  Quadratic Equations and Inequalities

Reviewing Basic Concepts

3.4  Further Applications of Quadratic Functions and Models

3.5  Higher-Degree Polynomial Functions and Graphs

Reviewing Basic Concepts

3.6  Topics in the Theory of Polynomial Functions (I)

3.7  Topics in the Theory of Polynomial Functions (II)

3.8  Polynomial Equations and Inequalities;  Further Applications and Models

Reviewing Basic Concepts

Summary

Review Exercises

Test

Chapter 4  Rational, Power, and Root Functions

4.1  Rational Functions and Graphs

4.2  More on Rational Functions and Graphs

4.3  Rational Equations, Inequalities, Models, and Applications

Reviewing Basic Concepts

4.4  Functions Defined by Powers and Roots

4.5  Equations, Inequalities, and Applications Involving Root Functions

Reviewing Basic Concepts

Summary

Review Exercises

Test

Chapter 5  Inverse, Exponential, and Logarithmic Functions

5.1  Inverse Functions

5.2  Exponential Functions

5.3  Logarithms and Their Properties

Reviewing Basic Concepts

5.4  Logarithmic Functions

5.5  Exponential and Logarithmic Equations and Inequalities

Reviewing Basic Concepts

5.6  Further Applications and Modeling with Exponential and Logarithmic Functions

Summary

Review Exercises

Test

Chapter 6  Analytic Geometry

6.1  Circles and Parabolas

6.2  Ellipses and Hyperbolas

Reviewing Basic Concepts

6.3  Summary of Conic Sections

6.4  Parametric Equations 

Reviewing Basic Concepts

Summary

Review Exercises

Test   

Chapter 7  Systems of Equations and Inequalities; Matrices

7.1  Systems of Equations

7.2  Solution of Linear Systems in Three Variables

7.3  Solution of Linear Systems by Row Transformations

Reviewing Basic Concepts

7.4  Matrix Properties and Operations

7.5  Determinants and Cramer’s Rule

7.6  Solution of Linear Systems by Matrix Inverses

Reviewing Basic Concepts

7.7  Systems of Inequalities and Linear Programming

7.8  Partial Fractions

Reviewing Basic Concepts

Summary

Review Exercises

Test   

Chapter 8 The Unit Circle and the Functions of Trigonometry

8.1 A