Let and . A relation from to is defined by f = (x,y) : y = x^2, ; x A . Decide…

MATHEMATICS · Subjective · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Let

A = \{-2,-1,0,1\}

and

B = \{0,1,4\}

. A relation

f

from

A

B

is defined by

f = \{(x,y) : y = x^2,\; x \in A\}.

Decide whether

f

is a function and state your conclusion with reason.