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Even Function

Concept

Even Function

An even function is a function for which f(-x)=f(x)f(\text{-} x) = f(x) for all xx in its domain. The graph of an even function has even symmetry, which means that it is symmetric about the y-y\text{-}axis. The functions y=x2y=x^2 and y=xy=|x| are two examples of even functions.

There are infinitely many even functions and the shapes of their graphs display a large variety.

A function that is not even, is either an odd function or neither even nor odd.