Mathematics

Problem

Answer the following with reference to relations between two non-empty sets. a. (i) Define the terms domain, codomain and range of a relation

R

from a set

A

to a set

B

. b. (ii) Let

A=\{1,2,3\}

and

B=\{1,2,3,4,5,6,7,8,9\}

. Consider the relation

R=\{(a,a^{2})\mid a\in A\}

. List the domain, range and codomain of

R

. Express each as an explicit set.