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 y-axis. 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

1. McAdams, David E.. All Math Words Dictionary, even function. 2nd Classroom edition 20150108-4799968. pg 73. Life is a Story Problem LLC. January 8, 2015. Buy the book
2. even. merriam-webster.com. Encyclopedia Britannica. Merriam-Webster. Last Accessed 7/9/2018. http://www.merriam-webster.com/dictionary/even. Buy the book
3. Rong Yang. A-Plus Notes for Algebra. pp 137-138. A-Plus Notes Learning Center. October 1, 2006. Last Accessed 7/9/2018. Buy the book
4. Mary Jane Sterling. Algebra II For Dummies. pp 104-106. 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. https://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. https://www.allmathwords.org/en/e/evenfunction.html.

Image Credits

• All images and manipulatives are by David McAdams unless otherwise stated. All images by David McAdams are Copyright © Life is a Story Problem LLC and are licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

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.)