# Questions on Inverse Functions

In this worksheet, you will be tasked to answer some questions on inverse functions. Use the applet below to assist you in finding functions with the required properties.

Give an example of an invertible function that goes through the origin.

Give an example of an invertible function that is decreasing.

Give an example of a polynomial function that does not have an inverse. Is it possible to make it invertible with some changes to its domain/range?

Give an example of a non-polynomial function that does not have an inverse. How can you change it in order to make it invertible?

Find a counterexample to the claim that invertible functions are not 1-1.