Question

Determine the domain and range of the relation $R$ defined by $R=$ {$(x,x+5):xϵ$ {$0,1,2,3,4,5$}}

Answer 1

Step 1:Given
$R=$ {$(x,x+5):xϵ$ {$0,1,2,3,4,5$}}

Step 2: Finding relation $R$ in roster form
$R=$ {$(0,5),(1,6),(2,7),(3,8),(4,9),(5,10)$}

Step 3:Domain of $R$
Domain is the set of first elements of ordered pairs in relation $R$.
Hence, domain $=$ {$0,1,2,3,4,5$}

Step 4:Range of $R$
Range is the set of second elements of ordered pairs in relation $R$.
Hence, range $=$ {$5,6,7,8,9,10$}