# point of inflection [closed]

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.

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