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\usepackage{amssymb}
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\begin{document}

\thispagestyle{empty} % REMOVES PAGE NUMBERING FOR THIS PAGE ONLY
\centerline{\textbf{\large Quiz \#1 $\cdot$ Fri. Sep. 2, 2005}}
\vspace*{.2in}
MATH 110 $\cdot$ Section 10 $\cdot$ Fall 2005  \hspace*{0.5in} Name \hrulefill
\vspace*{0.2in}

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\begin{enumerate}
\item[1.] Which of the following tables determine $y$ as a function of $x$?
(Hint:  Please be very careful!  This is a tricky question.)

\begin{tabular}{lll}

	(1)
	\begin{tabular}{|l|l|}
	\hline $x$ & $y$ \\
	\hline
	\hline 5 & 2 \\
	\hline 6 & 4 \\
	\hline 8 & 4 \\
	\hline 9 & 5 \\
	\hline
	\end{tabular}

\qquad & \qquad

	(2)
	\begin{tabular}{|l|l|}
	\hline $x$ & $y$ \\
	\hline
	\hline 2 & 9 \\
	\hline 3 & 5 \\
	\hline 4 & 3 \\
	\hline 3 & 5 \\
	\hline
	\end{tabular}

\qquad & \qquad

	(3)
	\begin{tabular}{|l|l|}
	\hline $x$ & $y$ \\
	\hline
	\hline 5 & 2 \\
	\hline 6 & 3 \\
	\hline 7 & 5 \\
	\hline 5 & 6 \\
	\hline
	\end{tabular}

\end{tabular}

\begin{tabular}{lll}
(A) All of them \qquad\qquad& (B) 1 and 2 only \qquad\qquad& (C) 2 only \\
(D) 1 and 3 only & (E) 2 and 3 only
\end{tabular}

\vspace*{1.6in}

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\item[2.] Which of the following has a domain of all real numbers except 8?

\begin{tabular}{lll}
(1) $g(x) = \frac{2x}{x-8}$ \qquad\qquad&
(2) $f(x) = \sqrt{x-8}$ \qquad\qquad&
(3) $h(x) = \frac{1}{x^2-64}$ \qquad\qquad
\end{tabular}

\begin{tabular}{lll}
(A) 1 only \qquad\qquad& (B) 2 and 3 only \qquad\qquad& (C) 2 only \\
(D) 1 and 2 only & (E) All of them
\end{tabular}

\vspace*{1.6in}

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\item[3.] What is the average rate of change for the function
$f(x) = 2x^2+3$ on the interval $[-1,4]$?  (Hint:  Use difference
quotients.)

\begin{tabular}{lll}
(A) $8$ \qquad\qquad& (B) $-8$ \qquad\qquad& (C) $-6$ \\
(D) $6$ & (E) None of these
\end{tabular}

\vspace*{1.6in}

%% ----------------------------------------------------------------
\newpage
\item[4.] Which of the following have a range of $[0,\infty)$?

\emph{I wrote the figures in pen this time.  To do:  include an
example using graphics.}
\vspace*{1.5in}
%\begin{center}
%\includegraphics{2.eps}
%\end{center}

\begin{tabular}{lll}
(A) 2 only \qquad\qquad& (B) 1 and 3 only \qquad\qquad& (C) 1 only \\
(D) 1 and 2 only & (E) All of them
\end{tabular}

\vspace*{1.6in}

%% ----------------------------------------------------------------
\item[5.] Which of the following is the piecewise equation for the graph below?

\emph{I wrote the figures in pen this time.  To do:  include an
example using graphics.}
\vspace*{1.5in}
%\begin{center}
%\includegraphics{2.eps}
%\end{center}

\begin{tabular}{lll}

(A) $ f(x) = \left\{
	\begin{matrix}
		-x^2 &\textrm{ for }& x < 1 \\
		1/2 &\textrm{ for }& x \ge 1 \\
	\end{matrix}
	\right.$ \qquad\qquad &

(B) $ f(x) = \left\{
	\begin{matrix}
		1/2 &\textrm{ for }& x > 1 \\
		|x| &\textrm{ for }& x < 1 \\
	\end{matrix}
	\right.$ \qquad\qquad \\

(C) $ f(x) = \left\{
	\begin{matrix}
		-|x| &\textrm{ for }& x < 1 \\
		1/2 &\textrm{ for }& x \ge 1 \\
	\end{matrix}
	\right.$ \qquad\qquad &

(D) $ f(x) = \left\{
	\begin{matrix}
		1/2 &\textrm{ for }& x > 1 \\
		-|x| &\textrm{ for }& x < 1 \\
	\end{matrix}
	\right.$ \qquad\qquad \\

(E) None of these
\end{tabular}

\vspace*{1.6in}

\end{enumerate}
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\end{document}
