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Please answer as soon as possible, and show work

Please answer as soon as possible, and show work-example-1

1 Answer

9 votes

Answer:

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

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