Question

Using complete sentences, explain how to find the average rate of change for f(x) from x = 4 to x = 7.
equation : f(x) = 3(x-1)^2+24

Answer 1

f(x) = 3(x-1)^2+24

f(4) = 3(4-1)^2+24 ... replace every x with 4

f(4) = ???

Answer 2

do the same for x = 7 to compute f(7)

then you compute this expression to get the answer

\[\Large \frac{f(7)-f(4)}{7-4}\]

Answer 3

alright thank you, question,
when i square the binomial, do i just make it :(4-1)(4-1)
or actually square it?

Answer 4

I would do the stuff inside the parenthesis first, then square the result

Answer 5

ex:

(10-7)^2 = 3^2 = 9

Answer 6

I'm following PEMDAS

Answer 7

oh yes of course, okay thank you

Answer 8

no problem