average rate of change is just the slope from (0,f(0)) to (2,f(2))
basically, average rate of change=slope=[tex]\frac{f(2)-f(0)}{2-0}[/tex]
evalaute each
f(2)=4(2)^2=4(4)=16
f(0)=4(2)^0=4(1)=4
so average rate of change=[tex]\frac{16-4}{2-0}=\fracc{12}{2}=6[/tex]
average rate of change is 6
