Published by Pearson (December 11, 2020) © 2018
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Algebra and Trigonometry with Modeling & Visualization doesn’t just mention real-world examples; it teaches mathematical concepts through those applications. This approach allows you to learn the concepts in the context of the world you know, leading to better understanding and retention.
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
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             Chapter 1 Summary
             Chapter 1 Review Exercises
             Chapter 1 Extended and Discovery Exercises
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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
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             Chapter 2 Review Exercises
             Chapter 2 Extended and Discovery Exercises
             Chapters 1-2 Cumulative Review Exercises
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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
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             Chapter 3 Summary
             Chapter 3 Review Exercises
             Chapter 3 Extended and Discovery Exercises
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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
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             Chapter 4 Summary
             Chapter 4 Review Exercises
             Chapter 4 Extended and Discovery Exercises
             Chapters 1-4 Cumulative Review Exercises
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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
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             Chapter 5 Summary
             Chapter 5 Review Exercises
             Chapter 5 Extended and Discovery Exercises
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6. Trigonometric Functions
6.1 Angles and Their Measure
6.2 Right Triangle Trigonometry
             Checking Basic Concepts for Sections 6.1 and 6.2
6.3 The Sine and Cosine Functions and Their Graphs
6.4 Other Trigonometric Functions and Their Graphs
             Checking Basic Concepts for Sections 6.3 and 6.4
6.5 Graphing Trigonometric Functions
6.6 Inverse Trigonometric Functions
             Checking Basic Concepts for Sections 6.5 and 6.6
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             Chapter 6 Summary
             Chapter 6 Review Exercises
             Chapter 6 Extended and Discovery Exercises
             Chapters 1-6 Cumulative Review Exercises
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7. Trigonometric Identities and Equations
7.1 Fundamental Identities
7.2 Verifying Identities
             Checking Basic Concepts for Sections 7.1 and 7.2
7.3 Trigonometric Equations
7.4 Sum and Difference Identities
             Checking Basic Concepts for Sections 7.3 and 7.4
7.5 Multiple-Angle Identities
             Checking Basic Concepts for Section 7.5
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             Chapter 7 Summary
             Chapter 7 Review Exercises
             Chapter 7 Extended and Discovery Exercises
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8. Further Topics in Trigonometry
8.1 Law of Sines
8.2 Law of Cosines
             Checking Basic Concepts for Sections 8.1 and 8.2
8.3 Vectors
8.4 Parametric Equations
             Checking Basic Concepts for Sections 8.3 and 8.4
8.5 Polar Equations
8.6 Trigonometric Form and Roots of Complex Numbers
             Checking Basic Concepts for Sections 8.5 and 8.6
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             Chapter 8 Summary
             Chapter 8 Review Exercises
             Chapter 8 Extended and Discovery Exercises
             Chapters 1-8 Cumulative Review Exercises
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9. Systems of Equations and Inequalities
9.1 Functions and Systems of Equations in Two Variables
9.2 Systems of Inequalities in Two Variables
             Checking Basic Concepts for Sections 9.1 and 9.2
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9.3 Systems of Linear Equations in Three Variables
9.4 Solutions to Linear Systems Using Matrices
             Checking Basic Concepts for Sections 9.3 and 9.4
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9.5 Properties and Applications of Matrices
9.6 Inverses of Matrices
             Checking Basic Concepts for Sections 9.5 and 9.6
9.7 Determinants
             Checking Basic Concepts for Section 9.7
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             Chapter 9 Summary
             Chapter 9 Review Exercises
             Chapter 9 Extended and Discovery Exercises
             Chapters 1-9 Cumulative Review Exercises
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10. Conic Sections
10.1 Parabolas
10.2 Ellipses
             Checking Basic Concepts for Sections 10.1 and 10.2
10.3 Hyperbolas
             Checking Basic Concepts for Section 10.3
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             Chapter 10 Summary
             Chapter 10 Review Exercises
             Chapter 10 Extended and Discovery Exercises
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11. Further Topics in Algebra
11.1 Sequences
11.2 Series
             Checking Basic Concepts for Sections 11.1 and 11.2
11.3 Counting
11.4 The Binomial Theorem
             Checking Basic Concepts for Sections 11.3 and 11.4
11.5 Mathematical Induction
11.6 Probability
             Checking Basic Concepts for Sections 11.5 and 11.6
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             Chapter 11 Summary
             Chapter 11 Review Exercises
             Chapter 11 Extended and Discovery Exercises
             Chapters 1-11 Cumulative Review Exercises
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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
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Appendix A: Using the Graphing Calculator
Appendix B: A Library of Functions
Appendix C: Partial Fractions
Appendix D: Percent Change and Exponential Functions
Appendix E: Rotation of Axes
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Bibliography
Answers to Selected Exercises
Photo Credits
Index of Applications
Index
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