Function Notation

Pronunciation: /ˈfʌŋk ʃən noʊˈteɪ ʃən/ Explain

f(x) = 3x + 2 where f(x) is the dependent variable, f is the function name, and x is the independent variable.
Figure 1: Function notation diagram

Function notation is a way to write functions that clarifies the name of the function, the independent variables, the dependent variables, and the transformation rule.

In the example on the right, f(x) is the dependent variable, f is the function name, x is the independent variable, and 3x + 2 is the transformation rule.

References

  1. Bettinger, Alvin K. and Englund, John A.. Algebra and Trigonometry. pg 55. www.archive.org. International Textbook Company. January 1963. Last Accessed 8/6/2018. http://www.archive.org/stream/algebraandtrigon033520mbp#page/n72/mode/1up/search/notation. Buy the book
  2. Goldrei, D.C.. Classic Set Theory: For Guided Independent Study. pg 4. Chapman & Hall Mathematics. July 1, 1996. Last Accessed 8/6/2018. Buy the book
  3. Long, Edith and Brenke, W. C.. Algebra, First Course. pp 206-213. www.archive.org. The Century Co.. 1913. Last Accessed 8/6/2018. http://www.archive.org/stream/algebrafirstcour00longrich#page/212/mode/1up/search/notation. Buy the book
  4. Ron Larson, Robert P. Hostetler. College Algebra. 7th edition. pp 191-192. Brooks Cole. January 5, 2006. Last Accessed 8/6/2018. Buy the book

Cite this article as:

McAdams, David E. Function Notation. 7/11/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/f/functionnotation.html.

Image Credits

Revision History

7/9/2018: Removed broken links, updated license, implemented new markup, implemented new Geogebra protocol. (McAdams, David E.)
2/5/2010: Added "References". (McAdams, David E.)
8/2/2008: Added transformation rule. (McAdams, David E.)
7/1/2008: Initial version. (McAdams, David E.)

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