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# Math1050 Ch04

### Linear and Quadratic Functions

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

Functions in the form f(x)=mx+b are called ___ functions. | linear |

Average rate of change of a linear function is ___ | change in y / change in x = m |

If a linear function has a positive slope it is said to be ___. | increasing |

If a linear function has a negative slope it is said to be ___. | decreasing |

If a linear function has a horizontal or 0 slope it is said to be ___. | constant |

Functions in the form f(x)=ax^2+bx+c are called ___ functions. | quadratic |

For a quadratic function, ___=-b/2a | h |

For a quadratic function, ___=4ac-b^2/4a | k |

For a quadratic function, ___=f(-b/2a) | k, i.e., "What is y at h?" |

For a quadratic function, if the discriminant b^2-4ac>0, the graph has ___ x-intercepts. | 2 |

For a quadratic function, if the discriminant b^2-4ac=0, the graph has ___ x-intercepts. | 1 |

For a quadratic function, if the discriminant b^2-4ac<0, the graph has ___ x-intercepts. | 0 |

Created by:
drjolley