Assignment: Favorite Functions

What is your favorite function?


Mine is good ol' f(x) = x squared. He is my favorite for many reasons. First he is always in a good mood and is never negative. Secondly, he is even-tempered -- f(-x) always equals f(x). I also like him because no matter what x-value I choose, f(x)'s rate of change is always constant and ends up being twice the x value. Finally, I think he is cool because whether his x-values go toward positive or negative infinity, his graph climbs toward the sky.

Name your favorite function and explain why you chose him/her.