Question

Let A = {1, 2, 3, 4} and B = {1, 4, 9, 16, 25} and R be a relation defined from A to B as

R = {(x,y): x $ϵ$ A, y $ϵ$ B and y =$x^2$}

(i) Depict this relation using arrow diagram.

(ii) Find domain of R.

(iii) Find range of R.

(iv) Write codomain of R.

(v) Does the truthfulness and honesty may have any relation?

Answer 1

Given, A= {1, 2, 3, 4} and B = {1, 4, 9,16, 25}

and R = {(x,y): x $ϵ$ A, y $ϵ$ B and y = $x^2$}

(i) Relation, R ={(1, 1), (2, 4), (3, 9), (4, 16)}

(ii) Domain of R = {1, 2, 3, 4}

(iii) Range of R = {1, 4, 9,16}

(iv) Codomain of R = {1, 4, 9, 16,25}

(v) Yes, the truthfulness and honesty may have relation.