\input{ThisWeek.tex}
\newcommand{\duedate}{Monday, November 10}
\input{../TemplateWeek/AtHomeWork.tex}
\input{Exercises.tex}

%\booltrue{teacher}

\begin{enumerate}
\item Show that the polynomial $x^5+3x-6$ has exactly one root.
\item Show that the polynomial $x^6+3x^2-6$ has exactly two roots.
\item A person travels 50 miles in 2 hours.  Show that they traveled exactly 25 mph at least once during the trip.
\item Sketch the graph of $f(x)=\frac{x^2+4}{x-1}$ without using a graphing calculator.  (Use a graphing calculator or a computer program to check your answer.)
\end{enumerate}

\end{document}