Mathematics
10 Online
OpenStudy (some.random.cool.kid):
x y
0
2
1
−1
2
−6
Find the average rate of change for the given function from x = 0 to x = 2.
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OpenStudy (some.random.cool.kid):
Find the average rate of change for the given function from x = 0 to x = 2.
2
4
−4
1
OpenStudy (some.random.cool.kid):
@jim_thompson5910 please help with a few of these...ik ur super decent at these types of maths.
jimthompson5910 (jim_thompson5910):
what's the given function?
jimthompson5910 (jim_thompson5910):
oh it's given as a table?
OpenStudy (some.random.cool.kid):
yes
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OpenStudy (some.random.cool.kid):
x
0
1
2
OpenStudy (some.random.cool.kid):
with y as
OpenStudy (some.random.cool.kid):
2
-1
-6
jimthompson5910 (jim_thompson5910):
thanks
jimthompson5910 (jim_thompson5910):
when x = 0, what is the value of y?
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OpenStudy (some.random.cool.kid):
says it 2
OpenStudy (some.random.cool.kid):
@jim_thompson5910
jimthompson5910 (jim_thompson5910):
so (0,2) is one point on the graph
jimthompson5910 (jim_thompson5910):
when x = 2, what is the value of y?
OpenStudy (some.random.cool.kid):
its -6
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OpenStudy (some.random.cool.kid):
there is no graph.. its a drawn out imaginative graph i guess.
OpenStudy (some.random.cool.kid):
uhm u sleep? lol
jimthompson5910 (jim_thompson5910):
you would use the table
jimthompson5910 (jim_thompson5910):
look where x = 2. Then look directly across
OpenStudy (some.random.cool.kid):
i said it was -6 ...
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jimthompson5910 (jim_thompson5910):
ok so we have (0,2) and (2,-6)
Find the slope of the line through those points
OpenStudy (some.random.cool.kid):
draw it?
jimthompson5910 (jim_thompson5910):
Slope Formula
\[\Large m = \frac{y_2 - y_1}{x_2 - x_1}\]
jimthompson5910 (jim_thompson5910):
(x1,y1) = (0,2)
(x2,y2) = (2,-6)
jimthompson5910 (jim_thompson5910):
\[\Large m = \frac{y_2 - y_1}{x_2 - x_1}\]
\[\Large m = \frac{-6-2}{2-0}\]
\[\Large m = ???\]
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OpenStudy (some.random.cool.kid):
3?
OpenStudy (some.random.cool.kid):
oh wait... -4
jimthompson5910 (jim_thompson5910):
-4 yes
jimthompson5910 (jim_thompson5910):
\[\Large m = \frac{y_2 - y_1}{x_2 - x_1}\]
\[\Large m = \frac{-6-2}{2-0}\]
\[\Large m = \frac{-8}{2}\]
\[\Large m = -4\]
OpenStudy (some.random.cool.kid):
ok great thanks
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jimthompson5910 (jim_thompson5910):
no problem