Find the number of points of discontinuities...HELP please..
\[\LARGE f(x)=[x^2-2x+2],where~x=[-2,5]\]
Greatest integer function^ it is
I think the best method would be graphing it,but I'm confused with how to work it out
Not up to your usual standards, @DLS This question doesn't seem as sadistic as your usuals... I'm probably missing something XD
Just out of interest, what is its vertex? I'd work it out, but it's easier to just ask you :D
(1,1) it would seem.
0,1
\[X=\frac{-(-2)}{2}=1\] \[y=0,since~D=b^2-4ac=0\]
\[y=\frac{4ac-b^2}{4a}=0\] why the silence ??
is that floor function?
yes
It probably all boils down to the number of integers between f(-2) and f(5) as you did...
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)
f(-2)=4+4+2=10 f(5)=25-10+2=17
hmm sorry, my bad...
uhh the part where it is decreasing is [-2,1] The integers between f(-2) to f(1), how many?
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