Introduction to Functions and Graphs | |

Numbers, Data, and Problem Solving | |

Visualizing and Graphing Data | |

Functions and Their Representations | |

Types of Functions | |

Functions and Their Rates of Change | |

Linear Functions and Equations | |

Linear Functions and Models | |

Equations of Lines | |

Linear Equations | |

Linear Inequalities | |

Absolute Value Equations and Inequalities | |

Quadratic Functions and Equations | |

Quadratic Functions and Models | |

Quadratic Equations and Problem Solving | |

Complex Numbers | |

Quadratic Inequalities | |

Transformations of Graphs | |

More Nonlinear Functions and Equations | |

More Nonlinear Functions and Their Graphs | |

Polynomial Functions and Models | |

Division of Polynomials | |

Real Zeros of Polynomial Functions | |

The Fundamental Theorem of Algebra | |

Rational Functions and Models | |

More Equations and Inequalities | |

Radical Equations and Power Functions | |

Exponential and Logarithmic Functions | |

Combining Functions | |

Inverse Functions and Their Representations | |

Exponential Functions and Models | |

Logarithmic Functions and Models | |

Properties of Logarithms | |

Exponential and Logarithmic Equations | |

Constructing Nonlinear Models | |

Trigonometric Functions | |

Angles and Their Measure | |

Right Triangle Trigonometry | |

The Sine and Cosine Functions and Their Graphs | |

Other Trigonometric Functions and Their Graphs | |

Graphing Trigonometric Functions | |

Inverse Trigonometric Functions | |

Trigonometric Identities and Equations | |

Fundamental Identities | |

Verifying Identities | |

Trigonometric Equations | |

Sum and Difference Identities | |

Multiple-Angle Identities | |

Further Topics in Trigonometry | |

Law of Sines | |

Law of Cosines | |

Vectors | |

Parametric Equations | |

Polar Equations | |

Trigonometric Form and Roots of Complex Numbers | |

Systems of Equations and Inequalities | |

Functions and Systems of Equations in Two Variables | |

Systems of Inequalities in Two Variables | |

Systems of Linear Equations in Three Variables | |

Solutions to Linear Systems Using Matrices | |

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