Even Function
Pronunciation: /ˈi.vən ˈfʌŋk.ʃən/ Explain
Click on the blue point and drag it to change the figure. Click on the check boxes to show different functions.
A function is even if, for every x, f(x)=f(x).
 Manipulative 1  Even Function Created with GeoGebra. 

An even function is a
function
which, for any value of x,
f(x) = f(x).^{[1]}
Even functions are symmetrical about the yaxis.
Manipulative 1 shows functions that are even. Manipulative 2 shows functions that
are not even.

Click on the blue point and drag it to change the figure.
For which point does f(x) = f(x)
 Manipulative 2  Example of a function that is NOT even Created with GeoGebra. 

References
 McAdams, David E.. All Math Words Dictionary, even function. 2nd Classroom edition 201501084799968. pg 73. Life is a Story Problem LLC. January 8, 2015. Buy the book
 even. merriamwebster.com. Encyclopedia Britannica. MerriamWebster. Last Accessed 7/9/2018. http://www.merriamwebster.com/dictionary/even. Buy the book
 Rong Yang. APlus Notes for Algebra. pp 137138. APlus Notes Learning Center. October 1, 2006. Last Accessed 7/9/2018. Buy the book
 Mary Jane Sterling. Algebra II For Dummies. pp 104106. For Dummies. June 19, 2006. Last Accessed 7/9/2018. Buy the book
More Information
 McAdams, David E.. Odd Function. allmathwords.org. All Math Words Encyclopedia. Life is a Story Problem LLC. 3/12/2009. http://www.allmathwords.org/en/o/oddfunction.html.
Cite this article as:
McAdams, David E. Even Function. 4/20/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/e/evenfunction.html.
Image Credits
Revision History
4/20/2019: Updated expressions and equations to match new format. (
McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (
McAdams, David E.)
7/5/2018: Removed broken links, updated license, implemented new markup, implemented new Geogebra protocol. (
McAdams, David E.)
1/6/2009: Initial version. (
McAdams, David E.)