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# Koehne graph vocab

### Vocabulary of Graphs

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

Domain | The set of all x-values for which the function is defined |

Range | The set of all y-values for a given function |

Horizontal Axis | x-axis |

Vertical Axis | y-axis or f(x)-axis |

Increasing | As x-values get larger, y-values get larger |

Decreasing | As x-values get larger, y-values get smaller |

Constant | As x-values get larger, y-values remain the same |

Extrema | Absolute maximum, absolute minimum, relative maximum, relative minimum |

Absolute Maximum | The largest y-value attained on the domain of a function |

Absolute Minimum | The smallest y-value attained on the domain of a function |

Relative Maximum | The largest y-value attained over an interval |

Relative Minimum | The smallest y-value attained over an interval |

Continuous | The graph of a function can be drawn without lifting your pencil |

Concave Up | Where the graph of a function makes a smiley face |

Concave Down | Where the graph of a function makes a frowny face |

Point of Inflection | Where the graph of a function changes concavity |

Discontinuity | Where the graph of a function has a hole, a jump in y-values at one point, or a vertical asymptote |

Vertical Asymptote | A line where function values are approaching positive or negative infinity as x approaches some real number |

Horizontal Asymptote | A line where function values are approaching some real number as x approaches positive or negative infinity |