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  • MAT102 Lecture 09B

Graphs in Math

• if $g:A\to B$, then it's graph $\mathrm{\Gamma }(g)=\{(a,f(a)):a\in A\}\subseteq A\times B$
• Example:
  • $f:\mathbb{Z}\times \mathbb{R}\to \mathbb{R}\times \mathbb{R}$ defined by $f(n,x)=(nx,n+x)$
  • $\mathrm{\Gamma }(f)=\{((n,x),(nx,n+x)):n\in \mathbb{Z},x\in \mathbb{R}\}$