Graphs | |

Rectangular Coordinates; Graphing Utilities | |

Graphs of Equations | |

Solving Equations Using a Graphing Utility | |

Lines | |

Circles | |

Chapter Review | |

Chapter Test | |

Chapter Project | |

Functions and Their Graphs | |

Functions | |

The Graph of a Function | |

Properties of Functions | |

Linear Functions and Models | |

Library of Functions; Piecewise-Defined Functions | |

Graphing Techniques: Transformations | |

Mathematical Models: Constructing Functions | |

Chapter Review | |

Chapter Test | |

Chapter Project | |

Cumulative Review | |

Polynomial and Rational Functions | |

Quadratic Functions and Models | |

Polynomial Functions and Models | |

Properties of Rational Functions | |

The Graph of a Rational Function; Inverse and Joint Variation | |

Polynomial and Rational Inequalities | |

The Real Zeros of a Polynomial Function | |

Complex Zeros: Fundamental Theorem of Algebra | |

Chapter Review | |

Chapter Test | |

Chapter Project | |

Cumulative Review | |

Exponential and Logarithmic Functions | |

Composite Functions | |

One-to-One Functions; Inverse Functions | |

Exponential Functions | |

Logarithmic Functions | |

Properties of Logarithms | |

Logarithmic and Exponential Equations | |

Compound Interest | |

Exponential Growth and Decay; Newton's Law; Logistic Growth and Decay | |

Building Exponential, Logarithmic, and Logistic Models from Data | |

Chapter Review | |

Chapter Test | |

Chapter Project | |

Cumulative Review | |

Trigonometric Functions | |

Angles and Their Measure | |

Trigonometric Functions: Unit Circle Approach | |

Properties of the Trigonometric Functions | |

Graphs of the Sine and Cosine Functions | |

Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions | |

Phase Shift; Sinusoidal Curve Fitting | |

Chapter Review | |

Chapter Test | |

Chapter Project | |

Cumulative Review | |

Analytic Trigonometry | |

The Inverse Sine, Cosine, and Tangent Functions | |

The Inverse Trigonometric Functions (continued) | |

Trigonometric Identities | |

Sum and Difference Formulas | |

Double-Angle and Half-Angle Formulas | |

Product-to-Sum and Sum-to-Product Formulas | |

Trigonometric Equations I | |

Trigonometric Equations II | |

Chapter Review | |

Chapter Test | |

Chapter Project | |

Cumulative Review | |

Applications of Trigonometric Functions | |

Right Triangle Trigonometry; Solving Right Triangles | |

Law of Sines | |

Law of Cosines | |

Chapter Review | |

Chapter Test | |

Chapter Project | |

Cumulative Review | |

Polar Coordinates; Vectors | |

Polar Coordinates | |

Polar Equations and Graphs | |

Chapter Review | |

Chapter Test | |

Chapter Project | |

Cumulative Review | |

Analytic Geometry | |

Plane Curves and Parametric Equations | |

Chapter Review | |

Chapter Test | |

Chapter Project | |

Cumulative Review | |

Systems of Equations and Inequalities | |

Systems of Linear Equations: Substitution and Elimination | |

Systems of Inequalities | |

Chapter Review | |

Chapter Test | |

Chapter Project | |

Cumulative Review | |

Sequences; Induction; The Binomial Theorem | |

Sequences | |

Arithmetic Sequences | |

Geometric Sequences; Geometric Series | |

Chapter Test | |

Chapter Project | |

Cumulative Review | |

Appendix Review | |

Algebra Review | |

Geometry Review | |

Polynomials and Rational Expressions | |

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