Exercise 1.

Consider the function \(f:\{1,2,3,4\} \to \{1,2,3,4\}\) given by

\begin{equation*} f(n) = \twoline{1 \amp 2 \amp 3 \amp 4}{4 \amp 1 \amp 3 \amp 4} \text{.} \end{equation*}

  1. Find \(f(1)\text{.}\)

  2. Find an element \(n\) in the domain such that \(f(n) = 1\text{.}\)

  3. Find an element \(n\) of the domain such that \(f(n) = n\text{.}\)

  4. Find an element of the codomain that is not in the range.

Solution.
in-context