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

Question

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

Philoid · Accepted Answer

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

Hence the relation in roaster form, R = {(0,5), (1,6), (2,7), (3,8), (4,9), (5,10)}

As Domain of R = set of all first elements of the order pairs in the relation.

⇒ Domain of R = {0, 1, 2, 3, 4, 5}

Range of R = set of all second elements of the order pairs in the relation.

⇒ range of R = {5, 6, 7, 8, 9, 10}.

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