Let and . A relation from to is defined by R= (x,y) A B: ;y=x^ 2 . Answer the…

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

Problem

Let

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

and

B=\{0,1,2,3,4,5\}

. A relation

R

from

A

B

is defined by

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

Answer the following questions. (a) Part 1: (i) List all ordered pairs belonging to

R

. (b) Part 2: (ii) Determine the domain and the range of

R

. (c) Part 3: (iii) Find the cardinalities of

R

, of its domain, and of its range.