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# chapter twoo

Question | Answer |
---|---|

direct-variation function | y=kx to the nth power. with k not equal to 0 and n being greater then 0. |

Example: the weight W of an adult animal of a given species is known to vary directly witht he cube of its height H. write an equation relating W and H. | w=kh cubed. |

inverse variation function | y= k/x tot he nth power when is not equal to 0 and n is greater then 0. |

Example:The number N of oranges you can pack in a box is approximately inversely proportional to the cube of the average diameter D of the oranges. Write and equation to express the relation. | N is about k/d cubed. |

Fundamental Theorem of variation. | a. (y=kx to the nth), and x is multiplied by c, then y is multiplied by c to the nth power. b.(y=k/x tp the nth power), and x is multiplied by a nonzero constant c, then y is divided by c to the nth. |

Slope of a line through to points | y2-y1/x2-x1 |

the graph of y=kx to the nth power | Creates a parabola |

the graphs of y=k/x and y=k/x squared | Creates a hyperbola |

Created by:
danielle.