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\Huge{Reading Quiz \S7 \& 8}
\end{center}

\normalsize

\begin{enumerate}

\item Give an example of:
\begin{enumerate}
\item $[1]$ a function that is onto, and
\vspace{2in}
\item $[2]$ a function with a well defined inverse.
\vspace{2in}

\end{enumerate}
\item $[2]$ Let $X=\{1,2,3,4\}$.  Recall the symmetric group of degree 4 is a group whose elements are one-to-one onto maps $f:X\rightarrow X$, under composition.  Find:

\[
\left(
\begin{array}{cccc}
  1	&2   	&3	&4   \\
  2	&4   	&1   	&3
\end{array}
\right)   \circ
\left(
\begin{array}{cccc}
  1	&2   	&3	&4   \\
  3	&2   	&4   	&1
\end{array}
\right)  
\]

or equivalently, find: $(1,2,4,3) \circ (1,3,4)$.


\end{enumerate}
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