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\begin{document}
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\Huge{Quiz 1}
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\normalsize

\noindent{Show \emph{all} your work. No credit is given without reasonable supporting work. There are \emph{two} sides to this quiz.}

\begin{enumerate}

\item Consider the following graph of $G$.


\includegraphics[height=1.8in]{GradeConvert2}	

\begin{enumerate}
\item $[1]$ (\S2.2 \#26c) Estimate x so that  $G(x)=3.0$.
\vskip 1in

\item $[2]$ (\S2.2 \#23b) Find the range of $G$.
\vskip 1in 

\item $[2]$ (\S2.2 \#53) Find a formula for the function $G$ in the indicated form.

$$G(x)= \begin{cases}
\hspace{1in}    		                         	& \text{if $0\leq x < 46$}\\
                   		          & \text{if $46\leq x<90$}\\
                             		& \text{if $90\leq x \leq 100$}\\
                            \end{cases}$$

\end{enumerate}


\newpage
\item (\S2.1 \#32) Let $f(x)=\frac{1}{x+1}$.  Find the following:
\begin{enumerate}
\item $[1]$ $f(3)$
\vskip 1.5in
\item $[2]$ $f(3+h)$
\vskip 1.5in
\item $[2]$ Use the above work to find the \emph{difference question of $f$ at 3}, that is find:  $$\frac{f(3+h)-f(3)}{h}$$
\noindent and simplify.
\end{enumerate}

\end{enumerate}
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