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Mathematics 20 Online
OpenStudy (dls):

Find the number of points of discontinuities...HELP please..

OpenStudy (dls):

\[\LARGE f(x)=[x^2-2x+2],where~x=[-2,5]\]

OpenStudy (dls):

Greatest integer function^ it is

OpenStudy (dls):

I think the best method would be graphing it,but I'm confused with how to work it out

terenzreignz (terenzreignz):

Not up to your usual standards, @DLS This question doesn't seem as sadistic as your usuals... I'm probably missing something XD

terenzreignz (terenzreignz):

Just out of interest, what is its vertex? I'd work it out, but it's easier to just ask you :D

terenzreignz (terenzreignz):

(1,1) it would seem.

OpenStudy (dls):

0,1

OpenStudy (dls):

\[X=\frac{-(-2)}{2}=1\] \[y=0,since~D=b^2-4ac=0\]

OpenStudy (dls):

\[y=\frac{4ac-b^2}{4a}=0\] why the silence ??

OpenStudy (ujjwal):

is that floor function?

OpenStudy (dls):

yes

terenzreignz (terenzreignz):

It probably all boils down to the number of integers between f(-2) and f(5) as you did...

terenzreignz (terenzreignz):

Well, if the floor is going to have any discontinuity, it's when the value of the floor-and (lol making up words) is an integer, so just look for the integer values between f(-2) and f(5)

OpenStudy (dls):

f(-2)=4+4+2=10 f(5)=25-10+2=17

terenzreignz (terenzreignz):

hmm sorry, my bad...

terenzreignz (terenzreignz):

uhh the part where it is decreasing is [-2,1] The integers between f(-2) to f(1), how many?

OpenStudy (dls):

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OpenStudy (dls):

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