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  1. \(f\) is not injective, since \(f(2) = f(5)\text{;}\) two different inputs have the same output.

  2. \(f\) is surjective, since every element of the codomain is an element of the range.

  3. \(f=\begin{pmatrix}1 \amp 2 \amp 3 \amp 4 \amp 5 \\ 3 \amp 2 \amp 4 \amp 1 \amp 2\end{pmatrix}\text{.}\)

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