I will award a medal if you can help me with this question!

Question

cggurumanjunath · Answer

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anonymous · Answer

sorry my computer freezes whenever I get on this website. Here is the question:
5.Using complete sentences, explain how to find the average rate of change for f(x) from x = 4 to x = 7.
here are my functions

amistre64 · Answer

is the slope between the points:  (4,f(4)) and (7,f(7))

amistre64 · Answer

use slope formula if anything ....

anonymous · Answer

So wait, between the 2 points? So (4,7) would be one and then solve the slope formula with my point (12, 31) and (4,7)?

amistre64 · Answer

im not too sure what your function for f(x) is defined as.

anonymous · Answer

it is in the paper I attached. f(x) = 3(x – 12)2 + 31.

anonymous · Answer

my point is (12, 31)

anonymous · Answer

oh and the 2 is supposed to be ^2

amistre64 · Answer

yeah, that doc was hard to parse ...

f(4) = 3(-8)^2 + 31 = 223

f(7) = 106

amistre64 · Answer

so the average rate of change is the slope from:  4,223  to   7,106

anonymous · Answer

where did the -8 come from?

amistre64 · Answer

4 - 12 of course

anonymous · Answer

oh yeah duh sorry.

anonymous · Answer

Thanks for your help! I have trouble with the average rate of change sometimes.

amistre64 · Answer

youre welcome

anonymous · Answer

so just double checking. I plugged the coordinates you gave me into the point slope form and I got -3/117. Is this right?