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Odd function

Revision as of 21:01, 14 October 2013 by DANCH (talk | contribs) (Created page with "An '''odd function''' <math>f</math> satisfies both <math>f(x)+f(-x)=0</math> and <math>-f(x)=f(-x)</math>. For instance, <math>f(x)=3</math> does not satisfy either, as <math>3...")
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An odd function $f$ satisfies both $f(x)+f(-x)=0$ and $-f(x)=f(-x)$.

For instance, $f(x)=3$ does not satisfy either, as $3+3\neq 0$ and $-3\neq 3$. However, $f(x)=x$ does, as $x+-x=0$ and $-x=-x$

See Also

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