\(\newcommand{\twoline}[2]{\begin{pmatrix}#1 \\ #2 \end{pmatrix}}\newcommand{\amp}{&}\)

Consider the function [math]f:\{1,2,3,4\} \to \{1,2,3,4\} given by
[math]f(n) = \twoline{1 \amp 2 \amp 3 \amp 4}{4 \amp 1 \amp 3 \amp 4}
\text{.}

- Find [math]
f(1)\text{.} - Find an element [math]
n in the domain such that [math]f(n) = 1\text{.} - Find an element [math]
n of the domain such that [math]f(n) = n\text{.} - Find an element of the codomain that is not in the range.