Even Function

Pronunciation: /ˈivən 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.

A even function is a function which, for any value of x 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 check boxes in the manipulatives to see different examples. Click on the check box again to uncheck it. Click on the blue points in the manipulatives and drag them to change the figures.

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. even. merriam-webster.com. Encyclopedia Britannica. Merriam-Webster. Last Accessed 8/6/2018. http://www.merriam-webster.com/dictionary/even.
  2. Rong Yang. A-Plus Notes for Algebra. pp 137-138. A-Plus Notes Learning Center. October 1, 2006. Last Accessed 8/6/2018. Buy the book
  3. Mary Jane Sterling. Algebra II For Dummies. pp 104-106. For Dummies. June 19, 2006. Last Accessed 8/6/2018. 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. 7/10/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/e/evenfunction.html.

Image Credits

Revision History

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.)

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