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\begin{document}

\begin{questions}

\question Let $f(x) = \displaystyle \frac{x+1}{x^2(x-3)}$.

\begin{parts}

\part Locate all points where $f$ is discontinuous and any asymptotes.

\part Sketch a graph of $f(x)$. Where is $f(x)$ positive? Negative? Zero? Does the graph $f(x)$ ever cross one of its asymptotes?

\part Sketch a graph of $g(x) = e^{f(x)}$. Locate any points of discontinuity and any asymptotes. How do these compare to the discontinuities and asymptotes of $f$?

\end{parts}

\end{questions}

\end{document}