College Algebra (10th Edition)

Intercepts: $(0,0)$. The graph has origin symmetry.
$\left[\begin{array}{ll} \text{x-intercepts:} & \text{y-intercepts:}\\ 0=\sqrt[3]{x} & y=\sqrt[3]{0}\\ x=0 & y=0\\ & \end{array}\right]$ The only intercept is $(0,0)$ Test x-axis symmetry: Replace $y$ with $-y$ $-y=\sqrt[3]{x}$ ... different from initial equation Test y-axis symmetry: Replace $x$ with $-x$ $y=\sqrt[3]{-x}$ $y=-\sqrt[3]{x}$ ... different from initial equation Test origin symmetry: $x\rightarrow-x$ and $y\rightarrow-y$. $-y=\sqrt[3]{-x}$ $-y=-\sqrt[3]{x}$ $y=\sqrt[3]{x}$ ...same as initial equation