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

# Inverse Function

### Module 22

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

What is an one-to-one function? | A one-to-one function is when each x-value corresponds to only 1 y-value, and each y-value corresponds to only 1 x-value. |

How can you check on a graph if an equation is an one-to-one function? | You can do horizontal line test. If every horizontal line intersects only once, then the function is a one-to-one function. |

What type of lines are one-to-one functions? | All lines are one-to-one functions except for horizontal or vertical lines. |

What is the inverse to an one-to-one function? | The inverse of an one-to-one function f(x) is f^-1 that consists of all ordered pairs (y,x), while f consists of (x,y). |

What are the steps to finding the inverse of an one-to-one function f(x)? | Step 1: Replace f(x) with y Step 2; Change x to y and y to x Step 3; Solve the equation for y Step 4; Replace y with the notation f^-1(x) |

Is there a way to check if f(x) is an one-to-one function? | Yes, if f(x) is an one-to-one function, then the inverse of f(x) is the function f^-1. Or where (f^-1 o f)(x)=x and (f o f^-1)(x)=x |

Created by:
513704378