Answer
See the explanation.
Work Step by Step
The fundamental theorem of calculus states that the average value of any function $f(x) $ on the interval $[p,q]$ can be defined as:
$\dfrac{1}{q-p}\int_p^q f'(x) dx=\dfrac{1}{q-p}[f'(x)]_p^q$
or, $=\dfrac{f(q)-f(p)}{q-p}$
Thus, this shows the average change of $f(x)$ on $[p,q]$.
