\documentclass{report}
\usepackage{amsmath,amssymb}

\begin{document}
\begin{center}
\textbf{\LARGE{Math 111}}\\
\textbf{Test 1}\\
\end{center}

\vspace{.5in}
\textbf{\large{Part I}}\\
Let
\begin{eqnarray*}
f(x)&=&2x\\
g(x)&=&\frac{1}{x+1}
\end{eqnarray*}
Evaluate
\begin{tabbing}
$f(x)$\hspace{1in}\=$g(x)$\hspace{1in}\=$f\circ g(x)$\hspace{1in}\=$g\circ f(x)$\\
\underline{input output}\>\underline{input output}\>\underline{input output}\>\underline{input output}\\
\vspace{.25in}\\
0\>0\>0\>0\\
\vspace{.25in}\\
1\>-1\>1\>1\\
\vspace{.25in}\\
-3\>5\>-1\>-1\\
\vspace{.25in}\\
-$\frac{1}{2}$\>-9\>-2\>-$\frac{1}{2}$
\end{tabbing}

\vspace{.5in}
\textbf{\large{Part II}}\\
What's the domain?\\
\vspace{.5in}\\
1.)\hspace{.1in}$3x^2-2x+1$\qquad for $x\leq0$\\
\vspace{1in}\\
2.)\hspace{.1in}$\frac{x-1}{x^2-2x+8}$\\
\pagebreak\\
3.)\hspace{.1in}$\sqrt{-x^2-x+6}$\\
\vspace{2.5in}\\
\textbf{\large{Part III}}\\
Approximate the following outputs.\\
\vspace{1in}\\
\underline{input\ \ \ \ \  output}\\
-2\\
\vspace{.25in}\\
-1\\
\vspace{.25in}\\
0\\
\vspace{.25in}\\
1\\
\vspace{.25in}\\
2\\
\pagebreak\\
\textbf{\large{Part IV}}\\
What is the domain and range of the following function?\\
\vspace{3.5in}\\
\textbf{\large{Part V}}\\
Determine if the following are functions, linear functions, and quadratic functions.\\
\vspace{.5in}
\begin{tabbing}
\hspace{1in}$x+8$\hspace{1.25in}\=$x^2+x+1$\hspace{1.25in}\=$\frac{x-1}{x+1}$\\
\end{tabbing}

y
linear?
\vspace{.25in}\\
quadratic?\\
\pagebreak\\
\vspace{2in}\\
function?\\
\vspace{.25in}\\
linear?\\
\vspace{.25in}\\
quadratic?\\
\vspace{.25in}\\
\vspace{.5in}\\
\textbf{\large{Part VI}}\\
Graph the following.\\
\vspace{.5in}\\
1.)\hspace{.1in}$y=2x-3$\\
\vspace{2in}\\
2.)\hspace{.1in}$y=3x^2-6x+2$\\
\vspace{2in}\\
\textbf{\large{Part VII}}\\
Find the equation of the line:\\
\vspace{.25in}\\
1.) Through points $(-1,1), (2,-3)$\\
\vspace{2in}\\
2.)\pagebreak

\textbf{\large{Part VIII}}\vspace{.25in}\\
Given:\\
$h=-b/2a$\\
$k=c-\frac{b^2}{4a}$\\
quadratic equation: $x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$\vspace{.2in}\\


We're in the market to produce luxury houses. Given:\\
Initial cost: 300,000\\
Cost per house: 100,000\\
Price per house: 300,000 - 20,000x\vspace{.3in}\\
Find: \\
Cost function:\vspace{.3in}\\
Revenue function:\vspace{.3in}\\
Profit function:\vspace{.3in}\\
Break-even points:(hint: set equal to 0 and simplify before plugging into the quadratic equation)\vspace{.3in}\\
Max profit:\\





\end{document}