Well, I am currently employing myself in finding the inflection points to the function y = 4x^2/(4-x^2). Through the process, the obtain the second derivative
y" = 32(4+3x^2)/(4-x^2)^3. I know from the definition of inflection points that x = -2 and x = 2 do not fit the criterion of being inflection points, and there are no real zeros; yet clearly, from the graph, I can see that there are changes in concavity. So are the two value, x = 2 and x = -2, pseudo points of inflection?