\documentclass[letterpaper, 11pt]{article}


\usepackage{amsbsy}
\usepackage{amsfonts}
\usepackage{anysize}
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{tikz}
\usetikzlibrary{shapes,arrows}
\usetikzlibrary{positioning}
\usetikzlibrary{trees}
\usepackage{pgfplots}
\usepackage{pdflscape}
\usepackage{graphicx}

\marginsize{1in}{1in}{0.4in}{0.7in}
\pagestyle{empty}
\clubpenalty=10000 \widowpenalty=10000

\title{Problem Set \# N}
\author{Your Name Goes Here \\ Class Name and Number}
\date{\today} 
%or
%\date{Date It's Due}

\begin{document}
\maketitle

\begin{enumerate}
\item
\begin{enumerate}
\item Here is an equation.
\begin{equation}
y = \begin{cases}
2x+3 & \text{ if } x<2 \\
x^2+10x-3 & \text { if } x \geq 2
\end{cases}
\end{equation}
\item Here is an un-numbered equation.
\begin{equation*}
y = \begin{cases}
\frac{x}{2} & \text{ if } x<2 \\
|x| & \text { if } x \geq 2
\end{cases}
\end{equation*}
\item And here is some inline math: $y=mx+b$
\end{enumerate}

\item Also, here's a plot.

\begin{center}
\begin{tikzpicture}
  \begin{axis}[ 
    xlabel=$x$,
    ylabel={$y$},
    xmin=-1,xmax=2,
    ymin=-.5,ymax=.5
  ] 
    \addplot[solid,red] {x*(1-x)};
    \addplot[solid,blue] {0};
  \end{axis}
\end{tikzpicture}
\end{center}
\end{enumerate}

%% If you want to include a plot that you've made using other software, make sure the file (either in an image format, like jpg or png, or in pdf) is saved in the same file as this document, then uncomment:
%\begin{figure}[htb] \centering   % htb means ``first try to place it right here, if that fails, place it at the top of the page, otherwise at the bottom of the page''
%\includegraphics[scale=.5]{my_plot.pdf}    % scale makes the image larger/smaller
%\end{figure}

\end{document}