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Old January 1st, 2009, 07:25 AM
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Default Maximum and minimum

Hello everyone -

My feeling here is that for the most part, many of these posts are making things too complicated. Obviously, we're not told the level of the course on which this question appears, but as a simple set of tests for max, min and points of inflexion, I would re-iterate my original post. To introduce
\epsilon > 0 into the discussion is probably not terribly helpful.

Also, note that in the original question, part (c) only asks for a graph that satisfies these conditions - not a full-blown discussion on all possible graphs. The most obvious example is that the curve is asymptotic to
x = -1.

As to the table showing two possible values at
x = 1, I thought that this was so obviously a typo that I didn't think it was worth passing comment.

Grandad
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