Hmmmmmm... well an even function is a function thats symmetrical on theY-Axis. The input of an even function be it negative f(-X) or positive f(X) will always have the same output. So f(x) = f(-x). Even functions are symmetrical on quadrant 1 and 2 or quadrant 3 and 4.
Example of an even function: Parabola
Odd functions are functions that are symmetrical on the origin. For odd functions the input will come out opposite. this is defined as f(-x) = -f(x). Odd functions are symmetrical on quadrant 1 and 3 or quadrant 2 and 4.
Example of an Odd function: Sin X
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