Independent Variable
Pronunciation: /ˌɪn.dɪˈpɛn.dənt ˈvɛər.i.ə.bəl/ Explain

Figure 1: Graph of f(x) = x^{2} 

An independent variable is a
variable
whose value can
vary
(change) independently of other variables. Another way to state this
is the value of the independent variable does not depend on the value of any other
variable. In
functions,
an independent variable is also called an input variable.
In figure 1, f(x) =
x^{2}, the independent variable is
x. You can tell the input variable when using function notation because
it is inside the
parenthesis
of the function declaration.

Cricket Population
Year  1992  1994  1996  1998 
Population 
2053 
1740 
2741 
2286 
Figure 2: Table of cricket population by year. 


The table in Figure 2
represents
a function. The independent variable is Year. This is because the year exists
independently of the cricket population, and the cricket population is dependent
on the year.

References
 McAdams, David E.. All Math Words Dictionary, independent variable. 2nd Classroom edition 201501084799968. pg 97. Life is a Story Problem LLC. January 8, 2015. Buy the book
 independent variable. merriamwebster.com. Encyclopedia Britannica. MerriamWebster. Last Accessed 8/7/2018. http://www.merriamwebster.com/dictionary/independent variable. Buy the book
 Long, Edith and Breknke, W. C.. Algebra, First Course. pg 208. www.archive.org. The Century Co.. 1913. Last Accessed 8/7/2018. http://www.archive.org/stream/algebrafirstcour00longrich#page/208/mode/1up/search/independent. Buy the book
 Bettinger, Alvin K. and Englund, John A.. Algebra and Trigonometry. pp 5354. www.archive.org. International Textbook Company. January 1963. Last Accessed 8/7/2018. http://www.archive.org/stream/algebraandtrigon033520mbp#page/n70/mode/1up/search/independent. Buy the book
Cite this article as:
McAdams, David E. Independent Variable. 4/23/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. https://www.allmathwords.org/en/i/independentvariable.html.
Image Credits
Revision History
4/23/2019: Updated equations and expressions to new format. (
McAdams, David E.)
3/19/2019: Clarified wording. (
McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (
McAdams, David E.)
8/6/2018: Removed broken links, updated license, implemented new markup, implemented new Geogebra protocol. (
McAdams, David E.)
2/11/2010: Added "References". (
McAdams, David E.)
8/9/2008: Added vocabulary link 'vary', clarified sentence on independent variable and function notation. (
McAdams, David E.)
7/12/2007: Initial version. (
McAdams, David E.)