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# Chapter 5

### Linear Functions

Term | Definition |
---|---|

Function | A relationship that pairs each input with exactly one output |

Domain | The set of all input values of a function |

Range | The set of all output values of a function |

Independent Variable | The variable that represents input values of the function |

Dependent Variable | The variable that represents output values of a function |

Relation | Pairs input with output |

Vertical Line Test | A graph represents a function when no vertical line passes through more than one point in the graph |

Discrete Domain | A set of input values that only consists of numbers in an interval |

Continous Domain | A set of input values that consists of all numbers in an interval |

Linear Function | A function whose graph is a non vertical line; A linear function can be written in the form y=mx+b |

Function Notation | A way to name a function using f(x) instead of y, The notation f(x) is read as "the value of f at x" or "f of x" |

Piecewise function | A function defined by two or more equations |

Step Function | A piecewise function defined by constant values over its domain |

Absolute value function | A function that has a V-shaped graph that opens up or down; the most basic absolute function is f(x)=|x| |

Nonlinear Function | A function that does not have a constant rate of change; the graph of a nonlinear function is not a line |

Sequence | An ordered list of numbers |

Term (of a sequence) | Each number in a sequence |

Arithmetic Sequence | A sequence in which the difference consecutive terms is the same; This difference is called the common difference |

Common Difference | the difference between consecutive terms of an arithmetic sequence |

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