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| Introduction to Functions and Graphs | |
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| Numbers, Data, and Problem Solving | |
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| Visualizing and Graphing Data | |
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| Functions and Their Representations | |
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| Types of Functions | |
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| Functions and Their Rates of Change | |
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| Linear Functions and Equations | |
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| Linear Functions and Models | |
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| Equations of Lines | |
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| Linear Equations | |
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| Linear Inequalities | |
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| Absolute Value Equations and Inequalities | |
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| Quadratic Functions and Equations | |
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| Quadratic Functions and Models | |
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| Quadratic Equations and Problem Solving | |
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| Complex Numbers | |
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| Quadratic Inequalities | |
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| Transformations of Graphs | |
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| More Nonlinear Functions and Equations | |
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| More Nonlinear Functions and Their Graphs | |
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| Polynomial Functions and Models | |
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| Division of Polynomials | |
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| Real Zeros of Polynomial Functions | |
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| The Fundamental Theorem of Algebra | |
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| Rational Functions and Models | |
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| More Equations and Inequalities | |
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| Radical Equations and Power Functions | |
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| Exponential and Logarithmic Functions | |
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| Combining Functions | |
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| Inverse Functions and Their Representations | |
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| Exponential Functions and Models | |
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| Logarithmic Functions and Models | |
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| Properties of Logarithms | |
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| Exponential and Logarithmic Equations | |
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| Constructing Nonlinear Models | |
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| Systems of Equations and Inequalities | |
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| Functions and Systems of Equations in Two Variables | |
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| Systems of Inequalities in Two Variables | |
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| Systems of Linear Equations in Three Variables | |
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| Solutions to Linear Systems Using Matrices | |
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| Properties and Applications of Matrices | |
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| Inverses of Matrices | |
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| Determinants | |
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| Conic Sections | |
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| Parabolas | |
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| Ellipses | |
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| Hyperbolas | |
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| Further Topics in Algebra | |
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| Sequences | |
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| Series | |
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| Counting | |
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| The Binomial Theorem | |
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| Mathematical Induction | |
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| Probability | |
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| Reference: Basic Concepts from Algebra and Geometry | |
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| Formulas from Geometry | |
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| Integer Exponents | |
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| Polynomial Expressions | |
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| Factoring Polynomials | |
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| Rational Expressions | |
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| Radical Notation and Rational Exponents | |
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| Radical Expressions | |
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| Using the Graphing Calculator | |
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| A Library of Functions | |
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| Partial Fractions | |