Average rate of change over the interval
[a,b]
for
y=f(x)
is given by
f(b)−f(a)b−a
Hence, average rate of change of from x=−2
to x=6
i.e. over the interval [−2,6]
for y=f(x)=12x2
is given rate of change=f(6)−f(−2)6−(−2)
As f(−2)=12(−2)2=2
and f(6)=12(6)2=
rate of change=18−28=162=2
