% Note:  Taken from the ASU math department web site.

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\usepackage{amssymb}
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\begin{document}

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\centerline{\textbf{\large Quiz \#2 $\cdot$ Fri. Sep. 9, 2005}}
\vspace*{.2in}
MATH 110 $\cdot$ Section 10 $\cdot$ Fall 2005  \hspace*{0.5in} Name \hrulefill
\vspace*{0.2in}
\begin{enumerate}

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\item[1.] Find the domain and zeroes of the function $f(x) = \sqrt{4-x^2}$.

\vspace*{1.5in}

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\item[2.] Find the domain and range of the function
$$
f(x) = \left\{\begin{matrix}
-x^2 & & x < -3 \\
x & & 0 \le x < 2 \\
1 & & x \ge 4 \\
\end{matrix}\right.
$$
(Hint:  First, graph the function.)

\vspace*{1.5in}

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\item[3.] Find the $x$-intercepts, $y$-intercepts, and turning points of
the following function.

\vspace*{1.5in}

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\newpage

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\item[4.] Find the interval(s) on which the function of problem 3 is increasing,
and the interval(s) on which it is decreasing.

\vspace*{1.5in}

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\item[5.] For each of the following functions, state whether the function
is odd, even, both, or neither.  Please justify your answers.
\vspace*{0.2in}

(a) $f(x) = |x-4|$

\vspace*{1.0in}

(b) $f(x) = |x|-4$

\vspace*{1.0in}

(c) $f(x) = x^2-1$

\vspace*{1.0in}

(d) $f(x) = (x-1)^2$


\end{enumerate}
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\end{document}
