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OpenStudy (anonymous):
Use the table of the function f(x) = x4 - 2x3 to answer this question:
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OpenStudy (anonymous):
x f(x)
-1 3
0 0
1 -1
2 0
3 27
What is the average rate of CHANGE from x = -1 to x = 1?
-2
0
2
4
@jim_thompson5910 Can you plz help me out!?
jimthompson5910 (jim_thompson5910):
what is f(-1) equal to?
OpenStudy (anonymous):
1
jimthompson5910 (jim_thompson5910):
look for -1 in the x column
jimthompson5910 (jim_thompson5910):
then look to the right of it to find f(-1)
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OpenStudy (anonymous):
oh sorry 3
jimthompson5910 (jim_thompson5910):
f(-1) means "f(x) when x = -1"
jimthompson5910 (jim_thompson5910):
yes f(-1) = 3
jimthompson5910 (jim_thompson5910):
f(1) = ???
OpenStudy (anonymous):
-1
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jimthompson5910 (jim_thompson5910):
now compute
\[\Large \frac{f(-1)-f(1)}{-1-1}\]
jimthompson5910 (jim_thompson5910):
I'm using the formula
\[\Large \frac{f(a)-f(b)}{a-b}\]
in this case, a = -1 and b = 1
jimthompson5910 (jim_thompson5910):
what do you get when you compute that fraction?
OpenStudy (anonymous):
idk what to do..
jimthompson5910 (jim_thompson5910):
\[\Large \frac{f(-1)-f(1)}{-1-1} = \frac{3-(-1)}{-1-1} = ??\]
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OpenStudy (anonymous):
2
jimthompson5910 (jim_thompson5910):
close
OpenStudy (anonymous):
-2? lol
OpenStudy (anonymous):
@jim_thompson5910
jimthompson5910 (jim_thompson5910):
yes you misplaced a negative sign somewhere
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jimthompson5910 (jim_thompson5910):
the answer is -2
OpenStudy (anonymous):
yeah ahah thank you so much i feel dumb for doing that xD
jimthompson5910 (jim_thompson5910):
its ok, you're welcome
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