Re: Increasing and decreasing functions - conflicting authors


David C. Ullrich wrote:
On Mon, 15 May 2006 21:35:37 -0500, "Colleyville Alan"
<nospam@xxxxxxxxxx> wrote:


You seem to be worried about the fact that this seems
to imply that the function is both increasing and
decreasing at the point 5. Don't worry about that.
One speaks of a function being increasing or decreasing
_on_ a _set_.

Don't you mean a set with non-zero measure? Or perhaps
a set with more than one element?

The set consisting of the single point 5 is still a set.
Is the function increasing on this set? Or is it decreasing?

.

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