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# Chapter2

### chapter2

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

Direct-variation function | Is a function with a formula of the form y=kx^n, with k not equal to 0 and n>0. |

Inverse-variation function | Is a function with a formula of the form y=k/x^n, with k not equal to 0 and n>0. |

Fundamental theorm of varation | Two parts: A)if y varies as x^n and x is multipuled by c then y is multipuled by c^n. B)if y varies inversely as x^n, and x is multiplied by a nonzero constant c, then y is divided by c^n. |

Slope | The steepness of a line is measured by slope. EQ)slope=change in vertical distance/change in horizontal distance or in more simple terms rise /run. |

Branches | Each hyperbola has 2 seperate parts. EQ) no exact equation. EX)when k>0 the branches lie in the second and fourth quadrants. Meaning the domain and range are the set of all nonzero real numbers. |

Combined variation | When direct and inverse variations occur together. EQ)no exact equation EX) y=kx/z = y varies directly as x and inversely as z. |

mathematical model | Is a description of that situation using the language and concepts of mathematics. |

Created by:
kaleighbrown