# How do you determine whether the graph of absy=x^3 is symmetric with respect to the x, y axis?

Nov 27, 2016

x-axis only. See graph.

#### Explanation:

$| y | = {x}^{3} \to x \ge 0$ and, since | $\pm$ y| $= | y | = {x}^{3}$,

(x, y) is a point on the graph $\to \left(x , - y\right)$ is also on the graph.#.

So, there is symmetry about x-axis.

graph{|y|-x^3=0 [-10, 10, -5, 5]}