Piecewise Function

Pronunciation: /ˈpisˌwaɪz ˈfʌŋk.ʃən/ Explain
Graph of the function f of x equals x square if x is less than zero, equals x if x is greater than or equal to zero.

A piecewise function is a function that consists of multiple sub-functions, each applying to a different domain. An example of a piecewise function is The function f of x equals x square if x is less than zero, equals x if x is greater than or equal to zero..

In the piecewise function The function f of x equals x square if x is less than zero, equals x if x is greater than or equal to zero., there are two domains: x < 0 and x ≥ 0. When x < 0, the value of the function is x2. When x ≥ 0, the value of the function is x.

References

  1. McAdams, David E.. All Math Words Dictionary, piecewise function. 2nd Classroom edition 20150108-4799968. pg 139. Life is a Story Problem LLC. January 8, 2015. Buy the book

Cite this article as:

McAdams, David E. Piecewise Function. 4/27/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/p/piecewisefunction.html.

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Revision History

4/27/2019: Changed equations and expressions to new format. (McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (McAdams, David E.)
12/1/2018: Removed broken links, updated license, implemented new markup. (McAdams, David E.)
7/18/2018: Changed title to common format. (McAdams, David E.)
7/29/2011: Initial version. (McAdams, David E.)

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