Mathematics
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OpenStudy (anonymous):
y=square root of 2x+3
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OpenStudy (anonymous):
what about it?
OpenStudy (shamil98):
what are you looking for?
OpenStudy (anonymous):
how do u find the points of discontinuity and the type of discontinuity
OpenStudy (shamil98):
y = \[y = \sqrt{2x + 3}, y = \sqrt{2x} + 3\]
which one is it?
OpenStudy (anonymous):
the former
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OpenStudy (shamil98):
the points of discontinuity are found by finding out what x value makes the equation undefined.
OpenStudy (shamil98):
is there no fraction?
OpenStudy (anonymous):
no fraction, no
OpenStudy (shamil98):
hm..
OpenStudy (anonymous):
I know how to do most of like the other problems but with the square root I'm getting kind of thrown off
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OpenStudy (shamil98):
There is no fraction, so i don't think there is any value that would make this undefined..
OpenStudy (anonymous):
all points in the domain i.e., all x<-3/2
OpenStudy (shamil98):
that's the global minimum
OpenStudy (shamil98):
as well
OpenStudy (shamil98):
but the fraction is just
\[y = \frac{ \sqrt{2x+3} }{ 1 }\]
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OpenStudy (anonymous):
so basically as long as the number in the root isn't less than 0 it's fine?
OpenStudy (shamil98):
Pretty much yes, you cant have something like √-25
OpenStudy (shamil98):
You only want real numbers ...
OpenStudy (shamil98):
\[inside \ge 0\]
OpenStudy (anonymous):
Is this a continuous function?
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OpenStudy (shamil98):
I don't think so. The point of discontinuity would be (-3/2, 0) because all real numbers except at that value.
OpenStudy (anonymous):
ok thanks