## College Algebra (10th Edition)

Intercepts: $(3, 0)$ and $(0,-27)$. The graph has neither x-axis, y-axis, nor origin symmetry.
$\left[\begin{array}{ll} \text{x-intercepts:} & \text{y-intercepts:}\\ 0=x^{3}-27 & y=0^{3}-27\\ x^{3}=27 & y=-27\\ x=3 & \\ & \end{array}\right]$ Intercepts: $(3, 0)$ and $(0,-27)$. Test x-axis symmetry: Replace $y$ with $-y$ $-y=x^{3}-27$ ... different from initial equation Test y-axis symmetry: Replace $x$ with $-x$ $y=(-x)^{3}-27$ $y=-x^{3}-27$ ... different from initial equation Test origin symmetry: $x\rightarrow-x$ and $y\rightarrow-y.\ -y=(-x)^{4}-1-y=(-x)^{3}-27$ $y=x^{3}+27$ ... different from initial equation