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Note: Each chaper concludes with a Chapter Summary, Review Exercises, and a Chapter Test | |

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Functions and Their Graphs Introduction to Library of Functions | |

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Lines in the Plane | |

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Functions | |

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Graphs of Functions | |

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Shifting, Reflecting, and Stretching Graphs | |

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Combinations of Functions | |

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Inverse Functions | |

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Exploring Data: Linear Models and Scatter Plots | |

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Polynomial and Rational Functions | |

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Quadratic Functions | |

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Polynomial Functions of Higher Degree | |

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Real Zeros of Polynomial Functions | |

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Complex Numbers | |

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The Fundamental Theorem of Algebra | |

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Rational Functions and Asymptotes | |

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Graphs of Rational Functions | |

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Exploring Data: Quadratic Models | |

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Exponential and Logarithmic Functions | |

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Exponential Functions and Their Graphs | |

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Logarithmic Functions and Their Graphs | |

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Properties of Logarithms | |

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Solving Exponential and Logarithmic Equations | |

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Exponential and Logarithmic Models | |

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Exploring Data: Nonlinear Models Cumulative Test: Chapters 13 | |

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Trigonometric Functions | |

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Radian and Degree Measure | |

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Trigonmetric Functions: The Unit Circle | |

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Right Triangle Trigonometry | |

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Trigonometric Functions of Any Angle | |

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Graphs of Sine and Cosine Functions | |

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Graphs of Other Trigonometric Functions | |

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Inverse Trigonometric Functions | |

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Applications and Models | |

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Analytic Trigonometry | |

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Using Fundamental Identities | |

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Verifying Trigonometric Identities | |

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Solving Trigonometric Equations | |

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Sum and Difference Formulas | |

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Multiple-Angle and Product-to-Sum Formulas | |

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Additional Topics in Trigonometry | |

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Law of Sines | |

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Law of Cosines | |

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Vectors in the Plane | |

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Vectors and Dot Products | |

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Trigonometric Form of a Complex Number Cumulative Test: Chapters 46 | |

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Linear Systems and Matrices | |

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Solving Systems of Equations | |

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Systems of Linear Equations in Two Variables | |

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Multivariable Linear Systems | |

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Matrices and Systems of Equations | |

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Operations with Matrices | |

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The Inverse of a Square Matrix | |

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The Determinant of a Square Matrix | |

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Applications of Matrices and Determinants | |

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Sequences, Series, and Probability | |

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Sequences and Series | |

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Arithmetic Sequences and Partial Sums | |

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Geometric Sequences and Series | |

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Mathematical Induction | |

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The Binomial Theorem | |

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Counting Principles | |

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Probability | |

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Topics in Analytic Geometry | |

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Introduction to Conics: Parabolas | |

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Ellipses | |

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Hyperbolas | |

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Rotation and Systems of Quadratic Equations | |

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Parametric Equations | |

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Polar Coordinates | |

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Graphs of Polar Equations | |

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Polar Equations of Conics Cumulative Test: Chapters 79 | |

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Analytic Geometry in Three Dimensions | |

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The Three-Dimensional Coordinate System | |

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Vectors in Space | |

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The Cross Product of Two Vectors | |

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Lines and Planes in Space | |

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Limits and an Introduction to Calculus | |

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Introduction to Limits | |

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Techniques for Evaluating Limits | |

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The Tangent Line Problem | |

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Limits at Infinity and Limits of Sequences | |

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The Area Problem Cumulative Test: Chapters 1011 | |

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Technology Support Guide | |

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Review of Graphs, Equations, and Inequalities | |

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The Cartesian Plane | |

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Graphs of Equations | |

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Solving Equations Algebraically and Graphically | |

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Solving Inequalities Algebraically and Graphically | |

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Exploring Data: Representing Data Graphically | |

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Proofs of Selected Theorems | |

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Concepts in Statistics | |

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Measures of Central Tendency and Dispersion | |

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Least Squares Regression | |

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Solving Linear Equations and Inequalities | |

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Systems of Inequalities | |

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Solving Systems of Inequalities | |

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Linear Programming | |