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# Polynomial Graphs

### Vocabulary related to graphs of polynomial functions

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

Turning Points | Where the graph changes direction |

Degree of Polynomial | The highest exponent in the polynomial |

Leading Coefficient | The number in front of the variable in the term with the highest exponent |

y-Intercept | The point where the graph crosses the y-axis |

Global Max/Min | The absolute highest or lowest point on a graph |

Local Max/Min | High and Low points that occur at turning points; Not necessarily the absolute highest and lowest point on a graph |

Zeros | The x-value that makes the function equal 0; a real zero is an x-intercept of the graph |

Multiplicity | The number of times a particular number is a zero of a polynomial |

What happens on the graph at a zero with an even multiplicity? | The graph bounces on the x-axis |

What happens on the graph at a zero with an odd multiplicity? | The graph crosses the x-axis |

End behavior of an odd degree polynomial with a positive leading coefficient | Falls left, rises right |

End behavior of an odd degree polynomial with a negative leading coefficient | Rises left, falls right |

End behavior of an even degree polynomial with a positive leading coefficient | Rises left, rises right |

End behavior of an even degree polynomial with a negative leading coefficient | Falls left, falls right |

The number of zeros of a polynomial | The number of zeros is equal to the degree of the polynomial |