The graph of the function f(x) is given above. Find f'(1/2).
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hero (hero):
f'(1/2) = 0
OpenStudy (anonymous):
can you explain please
OpenStudy (anonymous):
i dont see why
OpenStudy (anonymous):
It is not 0
OpenStudy (anonymous):
answer is not zero
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OpenStudy (anonymous):
Intercepts are not clear
Slope is constant i.e f'(x) is constant
OpenStudy (anonymous):
?
hero (hero):
Yeah, it's not zero
OpenStudy (anonymous):
Ans is (y-intercept/x-intrecept)
OpenStudy (anonymous):
which intercepts?
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OpenStudy (anonymous):
x and y
OpenStudy (anonymous):
yes i know, but at which point
OpenStudy (anonymous):
?
hero (hero):
Sorry, you're right, it's not zero. What you have to do is find the slope of the line first. The slope of the line = the derivative.
OpenStudy (anonymous):
thats what i was thinking too
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OpenStudy (anonymous):
its not
OpenStudy (anonymous):
we have to do more than find the slope dont we?
hero (hero):
(8-4)/(1-.25) = 4/(3/4) = 16/3
If that's not it then I don't know what is..
OpenStudy (anonymous):
no its not
hero (hero):
:/
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hero (hero):
you typed 16/3 ?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
i think its 3/1 so 3
OpenStudy (anonymous):
but its not
OpenStudy (anonymous):
rise over run
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hero (hero):
I just looked over the graph, the lines don't match up the way I thought they did. This question is pretty whack.
OpenStudy (anonymous):
haha
hero (hero):
Are you still trying to find the answer to it? I want to give it one last shot
OpenStudy (anonymous):
yes i am lol
hero (hero):
Try 12.5
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OpenStudy (anonymous):
nope
OpenStudy (anonymous):
not the answer
hero (hero):
3.125
Try that
hero (hero):
If that isn't it, I quit
OpenStudy (anonymous):
its not. thanks for trying to figure it out though.
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hero (hero):
Ridiculous
OpenStudy (anonymous):
the answer is 5. i figured it out.
hero (hero):
What did you do? Keep guessing until you got it?
OpenStudy (anonymous):
no
OpenStudy (anonymous):
did rise over run
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OpenStudy (anonymous):
i did it wrong at first
OpenStudy (anonymous):
it goes up by 5 and over 1
OpenStudy (anonymous):
5/1 = 5
hero (hero):
How'd you figure that out?
OpenStudy (anonymous):
i have notes from class
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hero (hero):
Actually, that's a shortcut way to do it. I remember now that you're supposed to use the x and y intercepts to do it if it crosses both axes. The x intercept = .6
The y intercept = 3
So the slope is rise/run = y/x = 3/.6 = 5
I completely bombed this question.