Question

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

Answer 1

x = {0, 1, 2, 3, 4, 5} 

y = x + 3 

When x = 0 ⇒ y = 0 + 3 = 3 

When x = 1 ⇒ y = 1 + 3 = 4 

When x = 2 ⇒ y = 2 + 3 = 5 

When x = 3 ⇒ y = 3 + 3 = 6 

When x = 4 ⇒ y = 4 + 3 = 7 

When x = 5 y = 5 + 3 = 8 

R = {(0, 3) (1, 4) (2, 5) (3, 6) (4, 7) (5, 8)} 

Domain = {0, 1, 2, 3, 4, 5} 

Range = {3, 4, 5, 6, 7, 8}

Comments

thank you for the answer