Answer to Question #171546 in Discrete Mathematics for Tanmoy

Question

Find the graph of the function f(n)=1-n from integers to integer

Answer 1

Given a mapping ${\displaystyle f:X\to Y}$, the graph of the mapping is the set

${\displaystyle G(f)=\{(x,f(x))\mid x\in X\}} \subset {\displaystyle X\times Y}$.

Let us find the graph of the function $f:\mathbb Z\to\mathbb Z$, $f(n)=1-n$:

$G(f)=\{ (n,f(n)) \mid n\in \mathbb Z \} =\{ (n, 1-n) \mid n\in \mathbb Z \}.$

Let us sketch the garph: