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Graph of a Function

Last updated Nov 1, 2022

# Definition

Let $X, Y$ be Sets and let $f: X \to Y$. Then the graph of $f$ is the Set $$\Gamma(f) := {(x, f(x)) \in X \times Y : x \in X} = f$$

# Remarks

  1. This is really just a way to write $f$ that highlights the Relational aspect of $f$.