Question

If A={1,4,8,9} and B={1, 2, -1, -2, -3, 3,5} and R is a relation from set A to set B {(x, y): x=y^2}. Find codomain of the relation.

(a) {1,4,9}

(b) {-1,1, -2,2, -3,3}

(c) {1,4,8,9}

(d) {-1,1, -2,2, -3,3,5}

The question was asked in an internship interview.

The doubt is from Relations in section Relations and Functions of Mathematics – Class 11

Answer 1

Correct choice is (d) {-1,1, -2,2, -3,3,5}

For explanation I would say: We know, codomain of a relation is the set to which relation is defined i.e. set B.

So, codomain = {-1,1, -2,2, -3,3,5}.