Answer
Net change: 9
Average rate of change: 3
Work Step by Step
We find the net change from $x=1$ to $x=4$:
$f(4)-f(1)=[4^{2}-2*4]-[1^{2}-2*1]=(16-8)-(1-2)=8-(-1)=8+1=9$
Next we find the average rate of change for this interval:
$\frac{f(4)-f(1)}{4-1}=\frac{9}{3}=3$
