Question

Please answer as soon as possible, and show work

Answer 1

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)

$f(-2)=1-3(-2)^2\\f(-2)=1-3(4)\\f(-2)=-11$

Then, f(0)

$f(0)= 1-3(0)^2\\f(0) = 1-3(0)\\f(0) = 1$

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

$\frac{f(b)-f(a)}{b-a}$

Flug in -11 and 1 on the numerator, and -2 and 0 on the denominator.

$Average = \frac{(1)-(-11)}{(0)-(-2)}$

$Average =\frac{12}{2} \\Average = 6$