22. (10 points) Sketch a graph of a single function $f(x)$ that fulfills all of the following requirements.
\begin{itemize}
\item $\lim_{x \to -3^{-}} f(x) = \infty$
\item $\lim_{x \to -3^{+}} f(x) = 4$
\item $f'(0) < 0$
\item $f(x)$ has a removable discontinuity at $x = 2$
\item $f(2) = 0$
\item $\lim_{x \to \infty} f(x) = 3$
\item The domain of the function is $(-\infty, \infty)$
\end{itemize}
