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\markright{Math 120 --- Version 1}

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\noindent
\vfil \noindent
\hfil MATH 120   \hfil \pp
\hfil  Exam I - Version 1\hfil  \pp
\hfil October 20, 2005 \hfil \pp
\vfil
Name {\leaders \hrule \hskip3.5in}  \pp

\bigskip

\hfil Student ID \#{\leaders \hrule \hskip1.5in}\hskip0.5in
\hfill
 Section {\leaders \hrule \hskip1.5in}\hskip0.5in\pp

\bigskip\bigskip

\centerline{HONOR STATEMENT}

``I affirm that my work upholds the highest standards of honesty
and academic integrity at the University of Washington, and that
I have neither given nor received any unauthorized assistance
on this exam."

\bigskip
\hfill SIGNATURE:\underline{\hskip3.0in}

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\vfil
\begin{center}
{\large
\begin{tabular}{||c|c|r||} \hline
 1 & 5 &\hspace{10mm} \hfil\\ \hline 
 2 & 5 &       \\ \hline
 3 & 10 &      \\ \hline
 4 & 15 & \\ \hline
 5 & 15 & \\ \hline
Total &50 & \\ \hline
\end{tabular}
}
\end{center}
\vfil
\begin{itemize}
\item Please check that your exam contains 5 problems on 4 pages.
\item Please turn your cell phone OFF and put it away for the duration of the exam.
\item Unless otherwise indicated, you must show your work.  The correct answer with no supporting work may result in no credit.  
\item If you use a guess-and-check method when an algebraic method is available, you may not receive full credit.
\item Put your name on your sheet of notes and turn it in with the exam.
\end{itemize}

\centerline{GOOD LUCK!}

\newpage

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\begin{enumerate}

\item (5 points)  Let $f(x)=2x^2-8$.  Compute $$\frac{f(x+h)-f(x)}h$$ and simplify as much as possible (assume $h\neq0$).

\vfill

\item (5 points)  For which value(s) of $\alpha$ does $3x^2+2\alpha x +1=0$ have exactly one solution?

\vfill

\newpage

\item (10 points)  Pam lives in an apartment building on the corner of Shuffle Street (which runs east--west) and Flap Avenue (which runs north--south).  She works in a studio on Shuffle Street, ten miles east of her apartment.  To get to work, Pam catches the Shuffle Street Express bus, which travels east along Shuffle Street.  The bus makes no stops between Pam's apartment and her studio and travels at a constant speed of 40~miles per hour.

There is a wireless ``hotspot", 0.25~miles north and 3~miles east of Pam's apartment that allows anyone within a 1650~foot radius to connect to the internet.  If Pam has her laptop on the bus, how long (in minutes) can she connect to the internet?

Reminder:  there are 5280 feet in 1 mile.

\vfill

\newpage




\item (15 points) On the day Clam University offered its first class ($t=0$), 852~students were enrolled.  Enrollment increased and reached a maximum of 3600~students 10~years later.

\begin{enumerate}

\item Assume that Clam U's enrollment at time $t$ is a {\bf quadratic function} $$C(t)=a(t-h)^2+k.$$  Find the values of $h$, $k$, and $a$.

\vfill

\item The left-handed student population of Clam U is a {\bf linear function} of time.  At $t=0$, there were 200~left-handed students at Clam~U; at $t=10$, there were~950.  Give a formula for $L(t)$, the number of left-handed students at time~$t$.

\vfill

\item Every student at Clam U is either left- or right-handed.  When is the right-handed population the largest?

\vfill

\end{enumerate}

\newpage


\item (15 points)  The graph of $f(x)$ is made up of a portion of a parabola and a line segment:

\begin{center}

\input{pict01}

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\begin{enumerate}

\item Fill in the missing portion of the multi-part rule for $f(x)$:

$$f(x) = \left\{ \begin{array}{cl}
x^2+6x+8, & \mbox{if $-6\leq x\leq 0$} \\
\hfill, & \mbox{if $0\leq x \leq 10$} \end{array} \right. $$

\vfill

\item What are the domain and range of $f(x)$?

\vfill

%\item Sketch the graph of $|f(x)|$.

%\begin{center}
%\input{pict02}
%\end{center}

\item Let $g(x)=\sqrt{x-3}$.  What is the domain of $(g\circ f)(x)$?

\vfill

\end{enumerate}





 \end{enumerate} \end{document}


