ASKSAGE: Sage Q&A Forum - Individual question feedhttp://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Mon, 13 May 2013 06:01:12 -0500point of inflectionhttp://ask.sagemath.org/question/10116/point-of-inflection/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.Mon, 13 May 2013 05:33:02 -0500http://ask.sagemath.org/question/10116/point-of-inflection/Comment by kcrisman for <p>Consider the function
f(x)=x^2 if x is non-negative;
f(x)=3-x^2 if x is negative.</p>
<p>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.</p>
http://ask.sagemath.org/question/10116/point-of-inflection/?comment=17707#post-id-17707I'm not sure how this question is related to Sage.Mon, 13 May 2013 06:01:12 -0500http://ask.sagemath.org/question/10116/point-of-inflection/?comment=17707#post-id-17707Answer by slelievre for <p>Consider the function
f(x)=x^2 if x is non-negative;
f(x)=3-x^2 if x is negative.</p>
<p>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.</p>
http://ask.sagemath.org/question/10116/point-of-inflection/?answer=14919#post-id-14919The definition of an [inflection point](http://en.wikipedia.org/wiki/Inflection_point) only makes sense on a continuous and differentiable curve.Mon, 13 May 2013 05:50:24 -0500http://ask.sagemath.org/question/10116/point-of-inflection/?answer=14919#post-id-14919