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A function f on R is an even function if for all x in the domain of f,

f(x) = f(-x).

Such a function is symmetric with respect to the y-axis when graphed.

A function f on R is an odd function if for all x in the domain of f,

-f(x) = f(-x).

Such a function has rotational symmetry with respect to the origin.

Examples

$ x^2 $ is a even function but $ x^3 $ is odd. $ X^5 +56x+909 $ is neither.