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Category : Higher Education
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 
        
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