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Prerequisites: Fundamental Concepts of Algebra | |
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Algebraic Expressions, Mathematical Models, and Real Numbers | |
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Exponents and Scientific Notation | |
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Radicals and Rational Exponents | |
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Polynomials | |
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Factoring Polynomials Mid-Chapter Check Point | |
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Rational Expressions | |
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Equations | |
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Modeling with Equations | |
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Linear Inequalities and Absolute Value Inequalities | |
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Summary, Review, and Test | |
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Review Exercises | |
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Test | |
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Functions and Graphs | |
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Graphs and Graphing Utilities | |
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Basics of Functions and Their Graphs | |
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More on Functions and Their Graphs | |
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Linear Functions and Slope | |
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More on Slope Mid-Chapter Check Point | |
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Transformations of Functions | |
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Combinations of Functions; Composite Functions | |
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Inverse Functions | |
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Distance and Midpoint Formulas; Circles | |
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Modeling with Functions | |
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Summary, Review, and Test | |
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Review Exercises | |
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Test | |
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Polynomial and Rational Functions | |
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Complex Numbers | |
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Quadratic Functions | |
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Polynomial Functions and Their Graphs | |
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Dividing Polynomials; Remainder and Factor Theorems | |
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Zeros of Polynomial Functions Mid-Chapter Check Point | |
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Rational Functions and Their Graphs | |
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Polynomial and Rational Inequalities | |
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Modeling Using Variation | |
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Summary, Review, and Test | |
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Review Exercises | |
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Test | |
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Cumulative Review Exercises (ChapterS P-2) | |
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Exponential and Logarithmic Functions | |
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Exponential Functions | |
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Logarithmic Functions | |
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Properties of Logarithms | |
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Mid-Chapter Check Point | |
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Exponential and Logarithmic Equations | |
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Exponential Growth and Decay; Modeling Data | |
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Summary, Review, and Test | |
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Review Exercises | |
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Test | |
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Cumulative Review Exercises (ChapterS P-3) | |