\input{ThisWeek.tex}
\newcommand{\duedate}{Monday, November 3}
\input{../TemplateWeek/AtHomeWork.tex}
\input{Exercises.tex}

%\booltrue{teacher}

\begin{enumerate}
\item Consider $g(x)=\frac{x}{x^3-1}$.  On the interval $[-2,0]$, at what value of $x$ does $g(x)$ attain its absolute maximum?
\item On the interval $[0,4/3]$, what are the absolute minimum and maximum of $x^3-2x^2+x-1$.  
\item Draw a function which is defined on $[-3,3]$, has a local minimum which is not an absolute minimum at $x=-2$, an absolute minimum at $x=-1$, an absolute maximum at $x=1$, and a local maximum which is not an absolute maximum at $x=2$.
\end{enumerate}

\end{document}