Exercise 8.

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

The first quadrant of a coordinate plane. Horizontal axis labeled "x", vertical axis labeled "f(x)". Both axes labeled with the numbers 1 through 4, with an integer grid. Points at (1,3), (2,4), (3,1) and (4, 3).

  1. Is \(f\) injective? Explain.

  2. Is \(f\) surjective? Explain.

  3. Write the function using two-line notation.

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