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# Pre-Calculus Ch 1

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

composition | The combining of functions by using the result of one function to evaluate a second function. |

continuous function | A function that can be graphed with no breaks, holes, or gaps. |

dilation | A transformation in which the graph of a function is compressed or expanded vertically or horizontally. |

domain | The set of all numbers that can be put into a function. |

end behavior | Describes what happens to the value of f(x) as x increases or decreases without bound. |

even function | A function that is symmetric with respect to the y-axis. |

extrema | The maximum and minimum values of a function. |

function | A relation that assigns to each element in the domain exactly one element in the range. |

interval notation | An expression that uses inequalities to describe subsets of real numbers. |

inverse function | Two functions (f and f^-1) are inverse functions if and only if f[f^-1(x)] = x for every x in the domain of f^-1(x), and f^-1[f(x)] = x for every x in the domain of f(x). |

limit | The unique value that a function approaches as x-values of the function approach c from the left and right sides. |

maximum | For a function f, the greatest value of f(x). A critical point on the graph of a function where the curve changes from increasing to decreasing. |

minimum | For a function f, the least value of f(x). A critical point on the graph of a function where the curve changes from decreasing to increasing. |

odd function | A function that is symmetric with respect to the origin. |

parent function | The simplest function in a family of functions. A function that is transformed to create other members in a family of functions. |

range | The set of all output values of a function. |

reflection | A transformation in which a mirror image of the graph of a function is produced with respect to a specific line. |

decreasing function | for every x1 and x2 in an interval where f(x1)>f(x2) when x1<x2 |

increasing function | for every x1 and x2 in an interval where f(x1)<f(x2) when x1<x2 |

zeros | The x-intercepts of a function. |

point symmetry | Graphs that can be rotated 180 degrees with respect to a point and appear unchanged |

line symmetry | Graphs that can be folded along a line so that the 2 halves match exactly. |

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ballen1209