Seriously. When, when, when, will we ever need to know that:
f(-x) = f(x) makes a function even, and
f(-x) = -f(x) makes a function odd? What use does this have?
"Johnson, we just got the graph of <insert graphable idea here>. We need you to tell us whether it's even or odd."
When you are studying a function, if it's odd or even it is easier as the same things that happen to the function for x > 0 are the same as when x < 0.
You should first check if the function is odd/even/something_else and then draw the graph, not vice versa