Problem: Inverse Functions and Relations
1. What is an inverse function? In order for a function to have an inverse it must be a one-to-one function. Explain in your own words what it means to be a one-to-one function and why this is a necessary requirement for having an inverse. Give a simple example of a function and its inverse. Explain why these functions are inverses of each other.
2.Explain the meaning of a relation. How is a relation different from a function? Illustrate by providing examples.