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Preface to the Instructor | |
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List of Applications | |
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Photo Credits | |
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To the Student | |
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Foundations: A Prelude To Functions | |
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The Distance and Midpoint Formulas | |
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Graphs of Equations in Two Variables; Intercepts; Symmetry | |
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Lines | |
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Circles | |
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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; Piecewise-defined Functions | |
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Graphing Techniques: Transformations | |
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Mathematical Models: Constructing Functions | |
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Chapter Review | |
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Chapter Test | |
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Chapter Projects | |
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Linear and Quadratic Functions | |
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Properties of Linear Functions | |
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Building Linear Functions from Data; Direct Variation | |
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Quadratic Functions and Their Zeros | |
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Properties of Quadratic Functions | |
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Inequalities Involving Quadratic Functions | |
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Quadratic Models | |
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Complex Zeros of a Quadratic Function | |
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Equations and Inequalities Involving the Absolute Value Function | |
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Chapter Review | |
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Chapter Test | |
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Chapter Projects | |
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Cumulative Review | |
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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; Inverse and Joint Variation | |
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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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Chapter Review | |
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Chapter Test | |
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Chapter Projects | |
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Cumulative Review | |
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Exponential and Logarithmic Functions | |
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Composite Functions | |
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One-to-One Functions; 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; Newton's Law; Logistic Growth and Decay | |
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Building Exponential, Logarithmic, and Logistic Functions from Data | |
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Chapter Review | |
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Chapter Test | |
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Chapter Projects | |
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Cumulative Review | |
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Conics | |
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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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Chapter Review | |
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Chapter Test | |
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Chapter Projects | |
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Cumulative Review | |
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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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Chapter Review | |
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Chapter Test | |
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Chapter Projects | |
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Cumulative Review | |
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Sequences; Induction; The Binomial Theorem | |
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Sequences | |
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Arithmetic Sequences | |
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Geometric Sequences; Geometric Series | |
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Mathematical Induction | |
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The Binomial Theorem | |
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Chapter Review | |
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Chapter Test | |
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Chapter Projects | |
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Cumulative Review | |
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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 | |
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Chapter Review | |
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Chapter Test | |
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Chapter Projects | |
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Cumulative Review | |
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Review | |
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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; Rational Exponents | |
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Solving Equations | |
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Interval Notation; Solving Inequalities | |
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Problem Solving: Applications of Linear Equations | |
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Complex Numbers | |
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Graphing Utilities | |
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The Viewing Rectangle | |
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Using a Graphing Utility to Graph Equations | |
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Using a Graphing Utility to Locate Intercepts and Check for Symmetry | |
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Using a Graphing Utility to Solve Equations | |
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Square Screens | |
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Using a Graphing Utility to Graph Inequalities | |
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Using a Graphing Utility to Solve Systems of Linear Equations | |
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Answers | |
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Index | |