Question

Please answer as soon as possible, and show work

Answer 1

6

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

`(f(b)-f(a))/(b-a)`

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

`Average = ((1)-(-11))/((0)-(-2)) \\\\`

`Average =(12)/(2) \\Average = 6`