### Home > APCALC > Chapter 7 > Lesson 7.4.4 > Problem7-216

7-216.

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

What happens to $f^{\prime\prime}(x)$ on either side of an inflection point?