I have solved (a), but (b) is confusing and I don't know how to go about it...

Question:

(a) find the average value of the function; f(x)= abs(x-1) over [0,2]

answer= 1/2

(b) verify the mean value theorem for integrals for the function and interval in part (a)

Guidance in the right direction? Thank you!

cheers