1. Introduction to Functions and Graphs

1.1 Numbers, Data, and Problem Solving

1.2 Visualizing and Graphing Data

            Checking Basic Concepts for Sections 1.1 and 1.2

1.3 Functions and Their Representations

1.4 Types of Functions and Their Rates of Change

            Checking Basic Concepts for Sections 1.3 and 1.4

            Chapter 1 Summary

            Chapter 1 Review Exercises

            Chapter 1 Extended and Discovery Exercises

2. Linear Functions and Equations

2.1 Equations of Lines

2.2 Linear Equations

            Checking Basic Concepts for Sections 2.1 and 2.2

2.3 Linear Inequalities

2.4 More Modeling with Functions

            Checking Basic Concepts for Sections 2.3 and 2.4

2.5 Absolute Value Equations and Inequalities

            Checking Basic Concepts for Section 2.5

            Chapter 2 Summary

            Chapter 2 Review Exercises

            Chapter 2 Extended and Discovery Exercises

            Chapters 1-2 Cumulative Review Exercises

3. Quadratic Functions and Equations

3.1 Quadratic Functions and Models

3.2 Quadratic Equations and Problem Solving

            Checking Basic Concepts for Sections 3.1 and 3.2

3.3 Complex Numbers

3.4 Quadratic Inequalities

            Checking Basic Concepts for Sections 3.3 and 3.4

3.5 Transformations of Graphs

            Checking Basic Concepts for Section 3.5

            Chapter 3 Summary

            Chapter 3 Review Exercises

            Chapter 3 Extended and Discovery Exercises

4. More Nonlinear Functions and Equations

4.1 More Nonlinear Functions and Their Graphs

4.2 Polynomial Functions and Models

            Checking Basic Concepts for Sections 4.1 and 4.2

4.3 Division of Polynomials

4.4 Real Zeros of Polynomial Functions

            Checking Basic Concepts for Sections 4.3 and 4.4

4.5 The Fundamental Theorem of Algebra

4.6 Rational Functions and Models

            Checking Basic Concepts for Sections 4.5 and 4.6

4.7 More Equations and Inequalities

4.8 Radical Equations and Power Functions

            Checking Basic Concepts for Sections 4.7 and 4.8

            Chapter 4 Summary

            Chapter 4 Review Exercises

            Chapter 4 Extended and Discovery Exercises

            Chapters 1-4 Cumulative Review Exercises

5. Exponential and Logarithmic Functions

5.1 Combining Functions

5.2 Inverse Functions and Their Representations

            Checking Basic Concepts for Sections 5.1 and 5.2

5.3 Exponential Functions and Models

5.4 Logarithmic Functions and Models

            Checking Basic Concepts for Sections 5.3 and 5.4

5.5 Properties of Logarithms

5.6 Exponential and Logarithmic Equations

            Checking Basic Concepts for Sections 5.5 and 5.6

5.7 Constructing Nonlinear Models

            Checking Basic Concepts for Section 5.7

            Chapter 5 Summary

            Chapter 5 Review Exercises

            Chapter 5 Extended and Discovery Exercises

6. Systems of Equations and Inequalities

6.1 Functions and Systems of Equations in Two Variables

6.2 Systems of Inequalities in Two Variables

            Checking Basic Concepts for Sections 6.1 and 6.2

6.3 Systems of Linear Equations in Three Variables

6.4 Solutions to Linear Systems Using Matrices

            Checking Basic Concepts for Sections 6.3 and 6.4

6.5 Properties and Applications of Matrices

6.6 Inverses of Matrices

            Checking Basic Concepts for Sections 6.5 and 6.6

6.7 Determinants

            Checking Basic Concepts for Section 6.7

            Chapter 6 Summary

            Chapter 6 Review Exercises

            Chapter 6 Extended and Discovery Exercises

            Chapters 1-6 Cumulative Review Exercises

7. Conic Sections

7.1 Parabolas

7.2 Ellipses

            Checking Basic Concepts for Sections 7.1 and 7.2

7.3 Hyperbolas

            Checking Basic Concepts for Section 7.3

            Chapter 7 Summary

            Chapter 7 Review Exercises

            Chapter 7 Extended and Discovery Exercises

8. Further Topics in Algebra

8.1 Sequences

8.2 Series

            Checking Basic Concepts for Sections 8.1 and 8.2

8.3 Counting

8.4 The Binomial Theorem

            Checking Basic Concepts for Sections 8.3 and 8.4

8.5 Mathematical Induction

8.6 Probability

            Checking Basic Concepts for Sections 8.5 and 8.6

            Chapter 8 Summary

            Chapter 8 Review Exercises

            Chapter 8 Extended and Discovery Exercises

            Chapters 1-8 Cumulative Review Exercises

R. Reference: Basic Concepts from Algebra and Geometry

R.1 Formulas from Geometry

R.2 Integer Exponents

R.3 Polynomial Expressions

R.4 Factoring Polynomials

R.5 Rational Expressions

R.6 Radical Notation and Rational Exponents

R.7 Radical Expressions

Appendix A: Using the Graphing Calculator

Appendix B: A Library of Functions

Appendix C: Partial Fractions

Appendix D: Percent Change and Exponential Functions

Bibliography

Answers to Selected Exercises

Photo Credits

Index of Applications

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