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# chapter 5 vocab

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 numbers of a function |

Independent variable | The variable that represents input values of a function |

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

Relation | Pairs inputs with Outputs; A relation that pairs each input with exactly one output is a function. |

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

Discrete Domain | A set of input values that consist of only certain numbers in an interval. |

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

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

Function Notation | A way to name a function using 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. |

Sequence | An ordered list of numbers |

Term of sequence | Each number in a sequence; Each term An has a specific position n in the sequence |

Arithmetic Sequence | A sequence in which the difference between consecutive terms n the same; this difference is called the common difference. |

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