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Originally Posted by Grandad  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  into the discussion is probably not terribly helpful. |
there is nothing special about the introduction of
except for the fact that it is just a symbol for a positive number, in this case, nothing more, nothing less. so i don't think it is not helpful.
Quote:
Originally Posted by Grandad 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  .
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of course, nothing is wrong about telling all the possible graphs. only that, if the teacher presented one of these possible graphs and the student drew the other one, the student might have confusions on what had gone wrong in his work. so before that happens, it would be better if the student knows has drawn both..
and talking about the "obvious", this is subjective, because for me, the obvious is the one with the cusp. but because i also know the your obvious is also a possible graph, i indicated on my post there are two possible graphs depending on another condition, (i.e. whether the function is continuous or not.) but since there is no condition about it, all i can say is "there are two possible graphs."
i hope, this wouldn't mind you.
