Using complete sentences, explain how to find the average rate of change for f(x) from x = 4 to x = 7.
My equation is f(x)=-2x^2+40x-182 in standard form but im lost, I dont know what to do?

Question

Using complete sentences, explain how to find the average rate of change for f(x) from x = 4 to x = 7.
My equation is f(x)=-2x^2+40x-182 in standard form but im lost, I dont know what to do?

anonymous · Answer

Wouldn't i have to just plug in the numbers for x?

jadeishere · Answer

lol is this algebra 1?

anonymous · Answer

Algebra 2

anonymous · Answer

I believe you need to use the slope formula...

anonymous · Answer

average rate of change is
f(b)−f(a)b−a
so substitute the x values to get a corresponding f(x) then substitute into the formula

anonymous · Answer

The x values would be -134 and 0 correct?

anonymous · Answer

Yes. I do believe that is correct. :)

anonymous · Answer

So what would i do now?

anonymous · Answer

0-(-134)?

anonymous · Answer

so all you need to do for the average rate of change is find the slope of the interval joining the 2 points. I think..

anonymous · Answer

Is there an equation for that? lol

anonymous · Answer

Can I give you a example of one? Lol

anonymous · Answer

F(7)=3(7−3)2+4=52
and for x = 4
F(4)=3(4−3)2+4=7
so the average rate of change is
52−7
7−4=

anonymous · Answer

Oh okay. Thank you! :)

anonymous · Answer

Your welcome!