I have a question that asks , ''for what values of x is the function concave?"

Im unsure as to what this is asking, is it just asking if the function is concave. and the function is convex.

??

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- Sep 4th 2009, 09:19 PMel123Concavity.
I have a question that asks , ''for what values of x is the function concave?"

Im unsure as to what this is asking, is it just asking if the function is concave. and the function is convex.

?? - Sep 5th 2009, 01:24 AMchug1
You'r right with the f''(x)<0, so the question is asking you to figure out which values of x make this true. If the question gives you an actual function that we can work with, find its second derivative and then put it in the abovementioned inequality, and solve for x. You should end up with an inequality for x, like "x > 3" or "x < (2/7)".

For example in the function

so

So the original function is concave when x is less than -1/24

Hope this helps