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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 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 Table of Contents
Get College Algebra with Modeling & Visualization, Books a la Carte Edition plus MyLab Math with Pearson eText Package, 6th Edition by Gary K. Rockswold, Minnesota State University, Mankato
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