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#1 2012-11-19 21:02:23
- princess snowwhite
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- Registered: 2012-11-06
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value of function
f(x)= [x] + (x-[x])^2.
where [x] means largest integer not exceeding x.
then find set of all values taken by f
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#2 2012-11-20 04:35:57
- princess snowwhite
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Re: value of function
I think the set will be infinite. does anyone has anything else in mind?
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#3 2012-11-20 04:40:27
- zetafunc.
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Re: value of function
Is [x] the floor function, then? (e.g. [6] = 6?)
#4 2012-11-20 05:01:03
- princess snowwhite
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Re: value of function
yes for n=2, [n]=2 but when n=1.6, [n]=1
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#5 2012-11-20 05:07:19
- zetafunc.
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Re: value of function
Then, I think f can take on any real value.
#6 2012-11-20 05:12:54
- princess snowwhite
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Re: value of function
so I 
. the set should be infininte
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#7 2012-11-20 06:21:57
- anonimnystefy
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Re: value of function
Then, I think f can take on any real value.
That is true. You can even plot it to see that the range is R (ie. the reals).
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