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\Huge{Quiz 3}

TQS 211
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\normalsize
\noindent{You are welcome to use any written homework from Chapter 2, worksheets you completed, and a calculator but no books or class notes.  Show \emph{all} your work (algebraically or geometrically) for each and simplify. No credit is given without supporting work.}

\begin{enumerate}


\item Let $g$ be the piece-wise defined function below.  This means the graph of $g$ is the \emph{entire} graph shown below. 

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\includegraphics[height=2in]{piece2}	
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\begin{enumerate}
\item $[2]$ Find the following \emph{if} possible: 

$\displaystyle{\lim_{x\rightarrow -3} g(x)}$ 
\hspace{2.5in} $g(-3)$
\vskip .5in

\item $[3]$ At what $x$ values is $g$ not continuous? 
\vskip .5in


\item $[5]$ Sketch the graph of $g'$.

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\includegraphics[height=2in]{blankPieceMatch}	
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\newpage

\item Consider $f(x)=x^2-2$.

\begin{enumerate}
\item $[1]$ Carefully graph $f$.

\vspace{-.7in} \hspace{1.7in} \includegraphics[height=2.6in]{blank_5}	

\item $[1]$ Find the total change of $f$ from when $x=-1$ to $x=2$.
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\item $[1]$ Find the average rate of change of $f$ from $x=-1$ to $x=2$.
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\item $[3]$ Estimate the rate of change of $f$ when $x=2$.
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\item $[4]$ Find $f'(2)$ algebraically.
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\end{enumerate}


\end{enumerate}
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