\documentclass{exam}[12pt]

\usepackage{amsfonts,amsmath,graphics,graphicx,epsfig}

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\begin{document}
\pagestyle{head}

\firstpageheader{\large Calculus I}{\bf\Large Continuity, Logs, and Limits}{\large Name:\hspace{1in} }
%\extraheadheight{.7in}
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%\small{\textit{Work all questions completely.  Show all work.}}

\large{Use the graph below to answer the following questions:}
\begin{questions}
\large{

\begin{figure}[h]
$$\includegraphics[scale=.5,angle=-90]{contfig}$$ 
\end{figure}

\question  List any points at which $f(x)$ is not continuous.
\vspace{.2in}

\question  Are any of the discontinuities removable?  If so, how could
you define the function to make it continuous there?
\vspace{.4in}

\question  Find $a$ and $b$ so that
$\displaystyle f(x) = \begin{cases}
\frac{\sin (2x)}{x}, \quad &x<0 \\
a, &x=0 \\
be^x +3, &x>0
\end{cases}$ \hspace{.2in}
is continuous.
\vspace{2in}

\question Use the log laws to simplify
$\log_3 \left(
\frac{x^2 y^{3/4}}{z^2+1}\right)$.

\pagebreak


\question  Find $\log_2 \left(\frac{1}{4}\right)$ without using your
calculator.
\vspace{1in}

\question  Find $\log_3 \left(\frac{1}{9}\right)+\log_3(27)$ without using your
calculator.
\vspace{1in}


\question  Solve $\ln(x+3)+\ln(x-1) = \ln(12)$.
\vspace{1.7in}

\question  Expand  $\ln\left(\dfrac{y^3(x+3)^2}{x^4+5}\right)$.
\vspace{1.5in}

\question Find $\displaystyle \lim_{h\to 0}\frac{(x+h)^2 - x^2}{h}$.
\vspace{2.2in} 

}
\end{questions}
\end{document}