### Home > CALC > Chapter 7 > Lesson 7.4.4 > Problem 7-208

7-208.

Yvette claims that *f*(*x*)* = x*^{1/3} has no points of inflection because *f* ''(*x*) is never equal to zero. Do you agree or disagree? If you disagree, explain the error in Yvette's reasoning. Homework Help ✎

What happens to *f* ''(*x*) on either side of an inflection point?