Question

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

• A. Domain of R = {3, 4, 5, 6, 7, 8}
  ​​​​​​Range of R = {0, 1, 2, 3, 4, 5}
• B. Domain of R = {0, 1, 2, 3, 4, 5}
  ​​​​​​Range of R = {3, 4, 5, 6, 7, 8}
• C. Domain of R = {0, 1, 2, 3}
  ​​​​​​Range of R = {3, 4, 5, 6,}
• D. Domain of R = {1, 2, 3, 4, 5}
  ​​​​​​Range of R = {4, 5, 6, 7, 8}

Answer 1

The correct option is B Domain of R = {0, 1, 2, 3, 4, 5}

​​​​​​Range of R = {3, 4, 5, 6, 7, 8}

Given: y = x + 3
Put x $\in$ {0,1,2,3,4,5} in the above equation and get corresponding values of y.
We get, y $\in$ {3,4,5,6,7,8}
$\therefore$ Relation R = {(0, 3) (1, 4) (2, 5) (3, 6) (4, 7) (5, 8)}.
Domain of R = {0, 1, 2, 3, 4, 5}
and Range of R = {3, 4, 5, 6, 7, 8}