[Math] Finding the average value of a function over an interval.

calculus

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I'm having trouble finding the areas between the intervals, mainly because I know that in order to use the mean value theorem for integrals, you (probably) need an equation for f(x). But since they are simply supplying the graph, I'm not sure where to begin.

Best Answer

Hint. The non-zero part of the graph of $f$ is a triangle with base $1$ and altitude $1$, so its area is...?