Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.

Normal Size Small Size show me how

Normal Size Small Size show me how

# module 22

### inverse functions, one-to-one functions

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

Is the following a one-to-one function f={(-4,-4),(8,8),(5,1)(1,5)} If so what is the inverse function | yes f^-1={(-4,-4),(8,8),(1,5),(5,1)} |

What makes a function one-to-one? | If each x-value (input) matches the y-value (output) and if each y-value(input) matches each-value(output). |

if given the function f(x)=x^3+3 a.f(3) b.f^-1(30) | the answer of a. would be f(3)=30 and b. f^-1(30)=3 since it is one-to-one remember that (f* f^1)(x)=x and (f^-1*f)(x)=x |

How can you tell if a graph is a one-to-one function? | if it passes through every horizontal line if it does go through every horizontal line than it is not a one-to-one function. |

graphing one to one functions are simple for example what would be the inverse function of f(x)=3x+4 and what would be the points | answer is f^-1(x)=(x-4)/3 and the points for the following would be f(x)=3x+4 (0,4),(1,7),(2,10) f^-1(x)=(x-4)/3 (0, |

find the inverse of f(x)=1-5x/4x | f^-1(x)=1/4x+5 |

Created by:
edgarigl26