Difference between revisions of "Even function"
From Encyclopedia of Mathematics
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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 | + | {{TEX|done}} |
| + | 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 | + | 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|odd function]]. |
Latest revision as of 14:14, 10 April 2014
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
Even function. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Even_function&oldid=14504