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# Inverse Functions

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

How do you know if a function is a one to one function? | A one-to-one function, each x-value, which is the input, corresponds to only one y-value, which is the output, and each y-value corresponds to only ONE x-value. |

f=(11,12),(4,3),(3,4),(6,6) One-to-one function? | Yes |

How can you tell if a function is a one-to-one function? What test besides the vertical line test? | Horizontal Line Test |

If every horizontal line intersects the graph of a function at most once, then the function is what? | A one-to-one function |

All linear equations are one-to-one except whose graphs are vertical or...? | Horizontal lines |

The inverse of a one-to-one function f is the one-to-one function f^-1 that consists of the set of all ordered pairs (y,x) where(x,y) belongs to...? | f |

f=(11,12),(4,3),(3,4),(6,6) Find the inverse | f^-1=(12,11),(3,4),(4,3),(6,6) |

f(x)=2x-3 Find the Rules | 1. y=2x-3 2. x=2y-3 then solve for y 3. x+3=2y then divide by 2 4. y=x+3 all divided over by 2 then replace y with f inverse of x (0,-3) inverse of that is (-3,0) |

When graphing an inverse function, what form would most be helpful to you when trying to graph? | y=mx+b |

Inverse functions have "switched" what? | Ordered-pair solutions |

If you have the graph of the function what would you do to find the inverse of the graph? | Switch the x and y values |