Determine the average rate of change of the function f(x)=-2x^2+5 over the interval from x=1 to x=4.

My choices are:
-10
10
-8
8
None of the others

Question

Determine the average rate of change of the function f(x)=-2x^2+5 over the interval from x=1 to x=4.

My choices are:
-10
10
-8
8
None of the others

kj4uts · Answer

Do I plug this in like this:

-2(1)^2+5=3
-2(4)^2+5=-27

anonymous · Answer

yes that's a start. You found f(1) = 3 and f(4) = -27. So now you do
$$\frac{ -27-3 }{ 4-1 }$$because the equation is$$avg~rate~of~change=\frac{ f(b)-f(a) }{ b-a }$$

kj4uts · Answer

oh ok I got -10 thank you for explain that with the formula.

anonymous · Answer

yeah that's right. you're welcome