Question

Find the average rate of change of the function f(x) - 2x² + 6x + 6, from x=-3 to x=-1. Note, the directions are equivalent to "Find the average rate of change over the interval [-3,-1]".​

Answer 1

Answer: -2

Explanation:

I will assume you meant
`f(x)=2x^(2)+6x+6`.

`f(-3)=2(-3)^2 + 6(-3)+6=6\\\\f(-1)=2(-1)^2 + 6(-1)+6=2\\\\\therefore (f(-3)-f(-1))/(-3-(-1))=(6-2)/(-2)=\boxed{-2}`