Question

Use the following function to complete the question below below: f(x) = 2(x-6)^2+4

Using complete sentences, explain how to find the average rate of change for f(x) from x = 4 to x = 7.

Answer 1

@iGreen

Answer 2

@Abhisar

Answer 3

Is this the entire question or is there more?

Answer 4

@BrooklynRoyals

Answer 5

Oh, I read that wrong. @GodGirl360, this is the entire question.

Answer 6

@cwrw238, can you help me?

Answer 7

yes
this is quite straight forward
first find the value of f(x) when x = 7 and x = 4

Answer 8

Oh, okay! So I just plug those numbers in and solve for them?

Answer 9

yes

Answer 10

Ok, let me try working it out.

Answer 11

eg f(7) = 2(7-6)^2 = 4

Answer 12

sorry that is + 4

Answer 13

f(x) = 2(x-6)^2+4
f(4) = 2(4-6)^2-4
4 = 2(-2)^2-4
4 = 2(4) -4
4 = 8 - 4
4 =4

Is that correct?

Answer 14

nope
f(4) = 2(4-6)^2 + 4
= 2(-2)^2 + 4
= 2*4 + 4
= 8 +4
= 12

Answer 15

Oh, right, it's +4

Answer 16

Let me try the other one

Answer 17

you are not solving an equation you are just finding the value of f(x) when x = 4

Answer 18

oh - i confused you with the = !

Answer 19

that was a typo

Answer 20

It wont let me post my reply, one second

Answer 21

f(7) = 2(7-6)^2 + 4
7 = 2(1)^2 + 4
7 = 2 + 4
7 = 6

Is this one right?

Answer 22

6 is correct
i'm not sure why you are putting the 7 there ...

Answer 23

Sorry, I forgot that it's solving for the value of f(x)

Answer 24

anyway
the average rate of change will be [f(7) - f(4)] / (7 - 4)

Answer 25

So it would be (6 - 12)/(7-4)?

Answer 26

yes

Answer 27

Okay, so would I solve it like this?

Answer 28

Actually, I forgot how to divide this. how do I do that again?

Answer 29

you work out the subtractions first

Answer 30

Oh, okay