### Table of Contents

Note: Each chapter includes a Chapter Summary, Review Exercises, and a Chapter Test | |

Prerequisites | |

Real Numbers | |

Exponents and Radicals | |

Polynomials and Factoring | |

Rational Expressions | |

The Cartesian Plane | |

Exploring Data: Representing Data Graphically | |

Functions and Their Graphs Introduction to Library of Functions | |

Graphs of Equations | |

Lines in the Plane | |

Functions | |

Graphs of Functions | |

Shifting, Reflecting, and Stretching Graphs | |

Combinations of Functions | |

Inverse Functions | |

Solving Equations and Inequalities | |

Linear Equations and Problem Solving | |

Solving Equations Graphically | |

Complex Numbers | |

Solving Equations Algebraically | |

Solving Inequalities Algebraically and Graphically | |

Exploring Data: Linear Models and Scatter Plots Cumulative Test: Chapters P–2 | |

Polynomial and Rational Functions | |

Quadratic Functions | |

Polynomial Functions of Higher Degree | |

Real Zeros of Polynomial Functions | |

The Fundamental Theorem of Algebra | |

Rational Functions and Asymptotes | |

Graphs of Rational Functions | |

Exploring Data: Quadratic Models | |

Exponential and Logarithmic Functions | |

Exponential Functions and Their Graphs | |

Logarithmic Functions and Their Graphs | |

Properties of Logarithms | |

Solving Exponential and Logarithmic Equations | |

Exponential and Logarithmic Models | |

Exploring Data: Nonlinear Models Cumulative Test: Chapters 3–4 | |

Trigonometric Functions | |

Angles and Their Measure | |

Right Triangle Trigonometry | |

Trigonometric Functions of Any Angle | |

Graphs of Sine and Cosine Functions | |

Graphs of Other Trigonometric Functions | |

Inverse Trigonometric Functions | |

Applications and Models | |

Analytic Trigonometry | |

Using Fundamental Identities | |

Verifying Trigonometric Identities | |

Solving Trigonometric Equations | |

Sum and Difference Formulas | |

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

Additional Topics in Trigonometry | |

Law of Sines | |

Law of Cosines | |

Vectors in the Plane | |

Vectors and Dot Products | |

Trigonometric Form of a Complex Number Cumulative Test: Chapters 5–7 | |

Linear Systems and Matrices | |

Solving Systems of Equations | |

Systems of Linear Equations in Two Variables | |

Multivariable Linear Systems | |

Matrices and Systems of Equations | |

Operations with Matrices | |

The Inverse of a Square Matrix | |

The Determinant of a Square Matrix | |

Applications of Matrices and Determinants | |

Sequences, Series, and Probability | |

Sequences and Series | |

Arithmetic Sequences and Partial Sums | |

Geometric Sequences and Series | |

Mathematical Induction | |

The Binomial Theorem | |

Counting Principles | |

Probability | |

Topics in Analytic Geometry | |

Conics | |

Translations of Conics | |

Parametric Equations | |

Polar Coordinates | |

Graphs of Polar Equations | |

Polar Equations of Conics Cumulative Test: Chapters 8–10 | |

Technology Support Guide | |

Proofs of Selected Theorems | |

Concepts in Statistics | |

Measures of Central Tendency and Dispersion | |

Least Squares Regression | |

Solving Linear Equations and Inequalities | |

Systems of Inequalities | |

Solving Systems of Inequalities | |

Linear Programming | |

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