Question

I need Quick Math Help Please

Answer 1

Find the average rate of change.
f(x) = x^2 - 4x + 1 from x = 3 and x = 6

Answer 2

Have you found "av erage rate of change" before? If so, what does the appropriate formula look like?

Answer 3

I have no idea , its my first time

Answer 4

Hints: What are the values of the given function at x=3 and at x=6?

Answer 5

Im not sure im sorry i just dont understand this :(

Answer 6

Please see http://www.mesacc.edu/~marfv02121/readings/average/
for an explanation of "average rate of change."

Here, f(x) = x^2 - 4x + 1. Just supposing (for example) that x=0, f(0)=0^2 - 4(0) + 1.
Therefore, the value of the function f(x) at x=0 is ... what?

Answer 7

If g(x) = x and x=0, then g(0) = 0. Is this familiar for you?

Answer 8

To find the average rate of change in the problem you've posted, you need to know how to evaluate a function f(x) at a given x value. I am leading you through a review of that topic now.

Answer 9

By observing the link you gave me we would setup
f(3) - f(6) / 3 - 6

Answer 10

Is this right ?

Answer 11

Thank you for looking up that link. You're definitely on the right track!! I would write
\[\frac{ f(6)-f(3) }{ 6-3 }=Average~rate~of~change\]

Answer 12

...but what you have written would produce the same result.

Please type the function f(x) from the original problem statement, here.

Answer 13

The original one is F(x) = x^2 - 4x + 1

Answer 14

Yes. Please now evaluate that for x=6. Please share your work.

Answer 15

So would it be f(6) = 6^2 -4(6) + 1 ?

Answer 16

Yes, and that comes out to f(6) = 36 - 24 + 1 = ??

Answer 17

f(6) = 13

Answer 18

Yes. Please evaluate f(3) similarly.

Answer 19

f(3) = -2

Answer 20

Right. now find the average rate of change. be careful with the - sign on that -2.

Average rate of change of f(x) from x=3 to x=6 is\[\frac{ 13-(?) }{ 6-3}=??\]

Answer 21

29/3

Answer 22

f(6) = 13, and f(3) = -2. Thus, f(6) - f(3) = 13 - (-2) = ? (not 29).

Answer 23

Oops 15

Answer 24

That 15 is your numerator and is correct.

What is the average rate of change?

Answer 25

\[\frac{ f(6)-f(3) }{ 6-3 }=?\]

Answer 26

15 / 3 which would = to 5 if simplified

Answer 27

yes. You've got it. Any questions about "average rate of change" or about any of the details we've gone through?

Answer 28

Good idea to write down formulas such as this one, for later reference and review.

Answer 29

Nope seems like I got it now! Thank you so much for your help your a great teacher , and thank you for the link it helped me alot as well!

Answer 30

Yes certainly will be taking notes of what we just reviwed

Answer 31

Thanks a LOT; so happy that you were willing to check out the link and to act on my suggestions. Best wishes to you!