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In mathematics, a power function is a function of the form : $f\colon x\mapsto ax^{r}\qquad c,r\in \mathbb {R}$ where c and a are constant real numbers and x is a variable. The domain of a power function can sometimes be all real numbers, but generally a non-negativity $x\geq 0$ is used to avoid problems with simplyfying. The domain of definition is determined by each individual case.

Power functions are a special case of power law relationships, which appear throughout mathematics and statistics.

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-In [[mathematics]], a '''power function''' is a [[function]] of the form {{nowrap|''f''(''x'') {{=}} ''cx''<sup>''a''</sup>}}, where ''c'' and ''a'' are [[constant]] [[real number]]s and ''x'' is a variable.
+In [[mathematics]], a '''power function''' is a [[function]] of the form :<math>f\colon x \mapsto a x^r\qquad  c,r \in \mathbb{R}</math> where ''c'' and ''a'' are [[constant]] [[real number]]s and ''x'' is a variable. The domain of a power function can sometimes be all real numbers, but generally a non-negativity <math>x \ge 0 </math> is used to avoid problems with simplyfying. The domain of definition is determined by each individual case.
 Power functions are a special case of [[power law]] relationships, which appear throughout mathematics and statistics.

Revision as of 11:49, 3 March 2013

See also