Answer:
6
Step-by-step explanation:
Your intervals are x=-2, and x=0. In this case, x=-2 will be a, and x=0 will be b.
To find the average rate of change, you have to first find f(-2) and f(0)
[tex]f(-2)=1-3(-2)^2\\f(-2)=1-3(4)\\f(-2)=-11\\[/tex]
Then, f(0)
[tex]f(0)= 1-3(0)^2\\f(0) = 1-3(0)\\f(0) = 1[/tex]
Now you know f(-2) is -11, and f(0) is 1.
Next, you plug these into the average rate of change formula, which is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Flug in -11 and 1 on the numerator, and -2 and 0 on the denominator.
[tex]Average = \frac{(1)-(-11)}{(0)-(-2)} \\\\[/tex]
[tex]Average =\frac{12}{2} \\Average = 6[/tex]
