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Difference between revisions of "Odd function"

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A function <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/o/o068/o068120/o0681201.png" /> that changes sign when the independent variable changes sign, i.e. <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/o/o068/o068120/o0681202.png" /> for all values in the domain of <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/o/o068/o068120/o0681203.png" />. The graph of an odd function is symmetric about the coordinate origin.
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A function $f$ that changes sign when the independent variable changes sign, i.e. $f(-x)=-f(x)$ for all values in the domain of $f$. The graph of an odd function is symmetric about the coordinate origin.
  
 
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See also [[Even function|Even function]].
 
See also [[Even function|Even function]].

Latest revision as of 14:15, 10 April 2014

A function $f$ that changes sign when the independent variable changes sign, i.e. $f(-x)=-f(x)$ for all values in the domain of $f$. The graph of an odd function is symmetric about the coordinate origin.

Comments

See also Even function.

How to Cite This Entry:
Odd function. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Odd_function&oldid=12679