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    \title{\vspace{-12ex} \raggedright{\normalsize{\textbf{\textit{Mr. Sorice's Calculus}} \hfill Name: \hspace{2in} }} \\ \vspace{-2ex} \hrulefill \vspace{-4ex} }
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\centering{\textbf{\textit{What Kinds of Discontinuities Are There?} Homework}}

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\subsubsection*{Directions}
Complete each exercise. In addition, classify each discontinuity that appears in the functions in each problem using the formal scheme -- remember, you can use the translation table if you find our class scheme more natural.

Use graph paper for any sketches. Book exercises are from \textit{CPM Calculus, 2nd Edition}. Due at the start of the next class.

\subsection*{Book Exercises}
\begin{itemize} 
    \item 1-18
    \item 1-24
    \item 1-44
    \item 2-74
    \item 2-77
\end{itemize}

\begin{sxr}
    It's sometimes claimed that removable discontinuities aren't real discontinuities.
    \begin{enumerate}[a.]
        \item Considering the domain of a function with a removable discontinuity, why do you think this claim is made?
        \item Can you see anything you would want to do with a function where you would care if it has a removable discontinuity? What about that you wouldn't care?
    \end{enumerate}
\end{sxr}

\begin{sxr}
    Suppose $f(x)$ has a removable discontinuity at $x=0$. What kind(s) of discontinuiti(es) can $g(x) = \frac{1}{f(x)}$ have at $x=0$? How do you know?    
\end{sxr}



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