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)=2(x-1)^2+21

Answer 1

use the slope formula... you need 2 points

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

Answer 2

of so looking at the equation in vertex form find F(7)

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

52−77−4=


same process for the standard form equation.

Answer 3

oops just realised they are the same equations... so all you need to do is simplify the fraction for the average rate of change...

Answer 4

you do... you actually get 2 points as shown above (7, 52) and (4, 7)

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

Answer 5

well you you go up to my 1st post you have

(52 - 7)/(7 -4) =

just evaluate it. thats the rate of change

Answer 6

I am really not understanding this at all.. I'm sorry.

Answer 7

you should get 15...

Answer 8

15 is the answer?

Answer 9

yea

Answer 10

thank you