How do you find the average rate of

George Michael

George Michael

Answered question

2022-04-15

How do you find the average rate of change of f(x)=2x2+2 from -3 to 0?

Answer & Explanation

carlosegundoacyg

carlosegundoacyg

Beginner2022-04-16Added 10 answers

Average rate of change is given by the formula:
f(b)f(a)ba
In our case, b=-3 and a=0. First, we find f(b) and f(a):
f(b)=f(3)=2(3)2+2=20
f(a)=f(0)=2(0)2+2=2
Plugging all the info into the formula:
20230=183=6.
The negative sign means the function is decreasing over the interval.

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