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: Collaborative Activities
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
Index
