= Average Function Value =

The '''average function value''' is a simple estimate of a function within some region.

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== Description ==

It is well understood that given a function ''f(x)'', the average value over a range like ''[a,b]'' is:

{{attachment:ave1.svg}}

The first component represents the inverse of the region of integration. In this univariate case, the region is a length. The second component represents the sum of all values given by ''f(x)'' in the region. The average is the sum of values divided by the region.

With two variables, consider:

{{attachment:ave2.svg}}

The region is now an [[Calculus/IntegralGeometry|area]].



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CategoryRicottone