2. Define a function.

(a) Define a function that you might see in a calculus class. Simple functions will not score all points. Your function should have atleast three features. Please identify these features in writing.

(b) Is your function one-to-one, unto, bijective? Could you change the domain and range to make it bijective?

(c) Compute and define the inverse if it exists. If it does not exist under any domain and range, discuss why you know this (highly unlikely!).

(d) Graph your function and inverse on the same axis. What should you observe?