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

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Answer 1 · 2016-11-27T15:51:16

x-axis only. See graph.

$| y | = x^{3} \to x \geq 0$ $|y|=x^3 to x >=0$ and, since | $\pm$ $+-$ y| $= | y | = x^{3}$ $=|y|=x^3$ ,

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

So, there is symmetry about x-axis.

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

How do you determine whether the graph of |y|=x3absy=x^3 is symmetric with respect to the x, y axis?