Symmetry

Check out this site. Try playing around with the choices of Graph Type and Function Type (even, odd, neither). See if you can figure out what the essential difference is in distinguishing which functions are Even, Odd, or Neither.

One idea to keep in mind here (and while recalling our work on reflections and inverses) is symmetry. There are many types of symmetry. Can you identify the kinds of symmetry that exist in the transformations we've been studying: reflections, inverses, even functions, odd functions?

Sometimes we come across symmetry by accident...

Somtimes by design...