I have a function h with the property

Now A is a nonempty set which has a supremum

Are there functions such that:

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- January 27th 2008, 02:44 PMhannsdoes such a function exist?
I have a function h with the property

Now A is a nonempty set which has a supremum

Are there functions such that:

- January 28th 2008, 04:24 AMcurvature
For the first question, let h(x)=-1/x (-1<x<0) .

- January 28th 2008, 04:46 AMcurvature
I think, for the second question, the answer is NO.

- January 28th 2008, 07:55 AMhanns
but -1/x is not monotonic on the whole real line

for instance

I think that the second is true for for instance

is this right? - January 29th 2008, 06:03 AMcurvature