I have learned from the Even and Odd Functions activity that even functions are symmetric, and odd functions are not. I have also learned that while looking at a even and odd functions graph you can usually tell if they are even, odd, or neither. To find out if an function is even you have to see if for every (x, f(x)) there is a corresponding (-x, f(x)). To find out is a function is odd you have to see if for every (x, f(x)) there is a corresponding (-x, -f(x)). A question I have after doing this assignment is, are there any family of functions that will always be even? Or any that will always be odd?
Even Functions: