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point of inflection [closed]

asked 2013-05-13 12:33:02 +0200

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Consider the function f(x)=x^2 if x is non-negative; f(x)=3-x^2 if x is negative.

Now,does f(x) have a point of inflection at x=0. It is clear that f(x) is convex for x<0 and concave for x>0.

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Closed for the following reason question is off-topic or not relevant by kcrisman
close date 2013-05-13 13:01:29

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I'm not sure how this question is related to Sage.

kcrisman gravatar imagekcrisman ( 2013-05-13 13:01:12 +0200 )edit

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answered 2013-05-13 12:50:24 +0200

slelievre gravatar image

The definition of an inflection point only makes sense on a continuous and differentiable curve.

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Asked: 2013-05-13 12:33:02 +0200

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Last updated: May 13 '13