Question

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

Answer 1

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!