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Even function

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A function that does not change sign when the sign of the independent variable is changed, i.e. satisfying the condition $f(-x)=f(x)$. The graph of an even function is symmetric about the $y$-axis.

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A function that does change sign when the sign of the independent variable is changed, i.e. satisfying the condition $f(x)=-f(-x)$, is called an odd function.

How to Cite This Entry:
Even function. Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Even_function&oldid=31495