Given the relation on the set ,

MATHEMATICS · Multi-part · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Given the relation

T = \{(0,1),\,(0,2),\,(1,1),\,(2,3),\,(2,4)\}

on the set

A = \{0,1,2\}

, (a) determine whether

T

is a function from

A

\mathbb{N}

. (b) By removing the least possible number of ordered pairs, modify

T

so that it becomes a function from

A

\mathbb{N}

and write the resulting set.