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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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| Trigonometric Functions | |
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| Angles and Their Measure | |
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| Right Triangle Trigonometry | |
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| The Sine and Cosine Functions and Their Graphs | |
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| Other Trigonometric Functions and Their Graphs | |
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| Graphing Trigonometric Functions | |
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| Inverse Trigonometric Functions | |
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| Trigonometric Identities and Equations | |
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| Fundamental Identities | |
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| Verifying Identities | |
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| Trigonometric Equations | |
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| Sum and Difference Identities | |
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| Multiple-Angle Identities | |
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| Further Topics in Trigonometry | |
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| Law of Sines | |
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| Law of Cosines | |
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| Vectors | |
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| Parametric Equations | |
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| Polar Equations | |
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| Trigonometric Form and Roots of Complex Numbers | |
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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 | |