# Even & Odd Functions - II

- Author:
- Judah L Schwartz

- Topic:
- Functions

An even function is one that is symmetric about the y axis. Such functions have the property that f(x) = f(-x).
An odd function is one that is symmetric with respect to rotation by 180 degrees around the origin. Odd functions have the property that f(x) = - f(-x).
In this applet you can explore this behavior for a function of one variable

*that depends on two parameters***f(x)***and***a***. Your function can be written as***b***The applet will display the even and odd functions that can be combined to make your function. Challenge – Given a function, how can you determine the even and odd functions that combine to make that function? Is this combination unique? How do you know?***f(x) = f**_{e}(x) + f_{o}(x).*What problems could/would you set for your students based on this applet?*