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    \title{\vspace{-12ex} \raggedright{\normalsize{\textbf{\textit{Mr. Sorice's Calculus}} \hfill Group: Answer Key}} \\ \vspace{-2ex} \hrulefill \vspace{-4ex} }
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\begin{center}{\uline{\bfseries{What Kinds of Discontinuities Are There?}}} \\ A group activity \end{center}


%\subsubsection*{Directions}
%\begin{enumerate}
%    \item Assemble your home group and get a set of 12 function cards.
%    \item Each function is discontinuous \emph{at most once} on the domain considered. Compare and contrast the functions and their continuity behavior. Use the tools we've devised so far, including limits, handed limits, and the formal definition of continuity. 
%    \item Divide the cards into groups that are similar in some way. These are \emph{categories of discontinuity}. Record your categories, the functions that belong to each category, and the rule that says whether a function goes in the category or now. A good categorization system will cover each function and assign each to just one category.
%    \item Record your categories and reasoning carefully and be prepared to present them.
%\end{enumerate}
%

\subsubsection*{Directions}
    These are the standard classifications of the functions given. Be aware that other valid schemes may be devisable!
    
\begin{center}
    \begin{tabular}{| p{0.5\textwidth} |p{0.5\textwidth} |}
        \hline
        \textbf{Cat. name:} Continuous \vspace{1cm}										& \textbf{Cat. name:} Removable discontinuity \vspace{1cm} \\
        \textbf{F'ns:} 1, 8, 9 \vspace{0.5cm}												& \textbf{F'ns:} 2, 6, 5\vspace{0.5cm} \\
        \textbf{Rule:} Function is equal to its limit at each point. \vspace{3cm}					& \textbf{Rule:} Has a limit, but isn't equal to it. \vspace{3cm} \\ \hline 
        \textbf{Cat. name:} Jump discontinuity \vspace{1cm}									& \textbf{Cat. name:} Essential discontinuity \vspace{1cm} \\
        \textbf{F'ns:} 4, 11, 12 \vspace{0.5cm}											& \textbf{F'ns:} 3, 7, 10 \vspace{0.5cm} \\
        \textbf{Rule:} Function doesn't have a limit, but does have both handed limits. \vspace{3cm}	& \textbf{Rule:} Function doesn't have a limit and doesn't have at least one handed limit -- may be infinite or undefined.\vspace{3cm} \\ \hline 
    \end{tabular}
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