I'm trying to graph the following system of inequalities
$$ \begin{cases} 1 \le x \le 3 \\ -1\le y \le 4 \\ x^3+y^3\le 29 \\ y \ge e^x -2 \end{cases}$$
I'm using Geogebra. While the first two and the last one work okay, I can't seem to be able to visualize the third one, not even if I put it in the $y\le \sqrt[3]{29-x^3} $ form.
Maybe I'm missing some fundamental math concept. Any hints on what's not working?
If you use $y\le (29-x^3)^{1/3}$ you get: