If 
is continuous on a closed
interval ![[a,b]](/images/equations/AverageFunction/Inline2.svg)
,
then there is at least one number 
in ![[a,b]](/images/equations/AverageFunction/Inline4.svg)
such that
 |
The average value of the function 
on this interval is then given by 
.
Average Function
See also
Mean-Value TheoremExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Average Function." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/AverageFunction.html