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Power function

Power function

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In mathematics, a power function is a function of the form , where c and a are constant real number
Real number
In mathematics, a real number is a value that represents a quantity along a continuum, such as -5 , 4/3 , 8.6 , √2 and π...

s and x is a variable.

Power functions are a special case of power law
Power law
A power law is a special kind of mathematical relationship between two quantities. When the frequency of an event varies as a power of some attribute of that event , the frequency is said to follow a power law. For instance, the number of cities having a certain population size is found to vary...

relationships, which appear throughout mathematics and statistics.