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

\begin{document}
\begin{center}
\textbf{\LARGE{Math 111}}\\
\textbf{ Practice Test 2}\\
\end{center}

\vspace{.5in}
\textbf{\large{Part I}}\\
Perform the following polynomial divisions:
\vspace{.5in}

1.)$ \frac{x^2-8x+15}{x-5}\\$
\vspace{3in}\\
2.)$ \frac{3x^2-5x-2}{x^2-4x+3}$

\pagebreak

\textbf{\large{Part II}}\\
Graph the following.
\vspace{.2in}\\

1.)$\frac{x^2-4}{x^2-1}$\vspace{2.5in}\pagebreak\\

2.)$\frac{x^2-15x+56}{x-6}$\pagebreak\\



\textbf{\large{Part III}}
\vspace{.25in}\\
Are the following limits well defined? If so, what are they? If not, why not?\vspace{.5in}\\

1.) $\underset{x \rightarrow 1}{lim}\frac{x^2-3x+2}{x-1}$\vspace{1.5in}\\

2.)$\underset{x \rightarrow 1}{lim}\frac{x-3}{x-1}$\vspace{1.5in}\\

3.)$\underset{x \rightarrow 0}{lim}\frac{1-\sqrt{1+x}}{x}$\pagebreak\\

\textbf{\large{Part IV}}\\
Are the following functions continuous at the given points?\vspace{.3in}\\

1.) $\frac{1}{x}$ at 3\vspace{1.5in}\\

2.)$\frac{x^2-3x+2}{x-1}$ at 1.\vspace{1.5in}\\

3.)
\begin{equation} f(x)=
	\begin{cases}
		x^2&	\text{for $x \leq 1$},\\
		x+1&	\text{for $1 < x$}
	\end{cases}
\end{equation}
At x=1\pagebreak\\




\textbf{\large{Part V}}
Fill out the following input/output chart\\
\vspace{.25in}\\
\begin{center}{$\frac{4}{25}^x$}\\
\begin{eqnarray*}
input &|& output\\
\vspace{.2in}\\
-2 &|& \\
\vspace{.25in}\\
-\frac{3}{2} &|&\\
\vspace{.25in}\\
-1 &|&\\
\vspace{.25in}\\
-\frac{1}{2} &|&\\
\vspace{.25in}\\
0 &|&\\
\vspace{.25in}\\
\frac{1}{2} &|&\\
\vspace{.25in}\\
1 &|&\\
\vspace{.25in}\\
\frac{3}{2} &|& \\
\vspace{.25in}\\
2 &|&
\end{eqnarray*}
\end{center}

\pagebreak
\textbf{\large{Part VI}}
\vspace{.25in}\\
1.) Say you put $3,000$ in an account with an annual interest rate of $.07$ compounded monthly. How much will be in your account after 3 years?
\vspace{3in}\\
2.) Say you need to have $10,000$ in your account at the end of $5$ years. How much money would you need to put into your account initially if the account has $.08$ annual interest compounded daily?\pagebreak\\

3.)Say you put $15,000$ in an account with an annual interest rate of $.07$ compounded continuously. How much will you have in your account after 2 years?
















\end{document}