Graph of a Function
The graph of a function \( f:X \rightarrow Y \) is defined to be the cartesian product \( X \times f(X) \), and is denoted by \(\mathcal{G}_{f}\). More precisely stated:
\[ \mathcal{G}_f=\{ (x, f(x)) : x \in X \} \]The graph of a function \( f:X \rightarrow Y \) is defined to be the cartesian product \( X \times f(X) \), and is denoted by \(\mathcal{G}_{f}\). More precisely stated:
\[ \mathcal{G}_f=\{ (x, f(x)) : x \in X \} \]