Question

A Relation 𝐑 is given by the set $\left\{\right(x,y)│y=x+3,x\in \{0,1,2,3,4,5\left\}\right\}.$ Determine its domain and range.

Answer 1

$x=\{0,1,2,3,4,5\}$
$y=x+3$
When $x=0\Rightarrow y=0+3=3$
When $x=1\Rightarrow y=1+3=4$
When $x=2\Rightarrow y=2+3=5$
When $x=3\Rightarrow y=3+3=6$
When $x=4\Rightarrow y=4+3=7$
When $x=5\Rightarrow y=5+3=8$

$R=\left\{\right(0,3),(1,4),(2,5),(3,6),(4,7),(5,8)$
Domain $=\{0,1,2,3,4,5\}$