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| Chapter R Review | |
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| Real Numbers | |
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| Algebra Essentials | |
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| Geometry Essentials | |
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| Polynomials | |
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| Factoring Polynomials | |
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| Synthetic Division | |
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| Rational Expressions | |
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| nth Roots | |
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| Rational Exponents | |
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| Equations and Inequalities | |
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| Linear Equations | |
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| Quadratic Equations | |
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| Complex Numbers | |
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| Quadratic Equations in the Complex Number System | |
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| Radical Equations | |
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| Equations Quadratic in Form | |
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| Factorable Equations | |
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| Solving Inequalities | |
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| Equations and Inequalities Involving Absolute Value | |
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| Problem Solving: Interest, Mixture, Uniform Motion, and Constant Rate Job Applications | |
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| Graphs | |
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| The Distance and Midpoint Formulas | |
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| Graphs of Equations in Two Variables | |
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| Intercepts | |
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| Symmetry | |
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| Lines | |
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| Circles | |
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| Variation | |
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| Functions and Their Graphs | |
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| Functions | |
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| The Graph of a Function | |
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| Properties of Functions | |
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| Library of Functions | |
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| Piecewise-defined Functions | |
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| Graphing Techniques: Transformations | |
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| Mathematical Models: Building Functions | |
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| Linear and Quadratic Functions | |
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| Linear Functions and Their Properties | |
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| Building Linear Functions from Data | |
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| Quadratic Functions and Their Properties | |
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| Quadratic Models | |
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| Building Quadratic Functions from Data | |
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| Inequalities Involving QuadraticFunctions | |
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| Polynomial and Rational Functions | |
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| Polynomial Functions and Models | |
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| Properties of Rational Functions | |
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| The Graph of a Rational Function | |
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| Polynomial and Rational Inequalities | |
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| The Real Zeros of a Polynomial Function | |
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| Complex Zeros: Fundamental Theorem of Algebra | |
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| Exponential and Logarithmic Functions | |
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| Composite Functions | |
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| One-to-One Functions | |
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| Inverse Functions | |
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| Exponential Functions | |
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| Logarithmic Functions | |
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| Properties of Logarithms | |
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| Logarithmic and Exponential Equations | |
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| Compound Interest | |
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| Exponential Growth and Decay Models | |
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| Newtons Law | |
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| Logistic Growth and Decay Models | |
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| Building Exponential, Logarithmic, and Logistic Functions from Data | |
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| Analytic Geometry | |
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| Conics | |
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| The Parabola | |
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| The Ellipse | |
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| The Hyperbola | |
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| Systems of Equations and Inequalities | |
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| Systems of Linear Equations: Substitution and Elimination | |
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| Systems of Linear Equations: Matrices | |
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| Systems of Linear Equations: Determinants | |
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| Matrix Algebra | |
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| Partial Fraction Decomposition | |
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| Systems of Nonlinear Equations | |
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| Systems of Inequalities | |
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| Linear Programming | |
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| Sequences | |
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| Induction the Binomial Theorem | |
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| Sequences | |
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| Arithmetic Sequences | |
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| Geometric Sequences | |
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| Geometric Series | |
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| Mathematical Induction | |
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| The Binomial Theorem | |
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| Counting and Probability | |
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| Sets and Counting | |
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| Permutations and Combinations | |
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| Probability Appendix Graphing Utilities | |
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| The Viewing Rectangle | |
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| Graphing Equations in Two Variables | |
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| Locating Intercepts and Checking for Symmetry | |
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| Solving Equations Using a Graphing Utility | |
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| Square Screens | |
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| Graphing Inequalities in Two Variables | |
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| Solving Systems of Linear Equations | |
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| Graphing a Polar Equation 9 Graphing Parametric Equations | |