Answer
(a) 12
(b) 6
Work Step by Step
We are given: $f(z)=1-3z^2$; $z=-2$, $z=0$
(a) We calculate the net change:
$f(0)-f(-2)=[1-3(0)^{2}]-[1-3(-2)^{2}]=(1-3*0)-(1-3*4)=1- -11=12$
(b) We calculate the average rate of change:
$\displaystyle \frac{f(0)-f(-2)}{0-(-2)}=\frac{12}{2}=6$
