\text { Consider the function } y=\sqrt[3]{x^{3}-1} (a) Find the coordinates of the points on the graph where the tangent line is vertical or horizontal. \text { b) Find }

\lim _{x \rightarrow \infty} \frac{\sqrt[3]{x^{3}-1}}{x} \text { and } \lim _{x \rightarrow-\infty} \frac{\sqrt[3]{x^{3}-1}}{x} \text {. Interpret the end behavior of the graph of } y=\sqrt[3]{x^{3}-1} \text { using the values of these limits. } (c) Find the coordinates of the point(s) on the graph where the tangent line is parallel to the line y=x.