Give an example of an even function and explain algebraically why it is even.

There's lots of even functions, but two that come to mind are the absolute value function, IxI, and x^2. These are even because they are reflected over the y axis. Another way to find this is that (-x)^2 is equal to x^2 and so is I-xI, the algebraic method. Good luck!

Where are the functions?

Ineed with this same question!