Namespaces
Variants
Actions

Even function

From Encyclopedia of Mathematics
Revision as of 14:14, 10 April 2014 by Ivan (talk | contribs) (TeX)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

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.

Comments

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://encyclopediaofmath.org/index.php?title=Even_function&oldid=14504