Answer the following questions about relations and functions.

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

Problem

Answer the following questions about relations and functions. (i) Define a relation from a set

A

to a set

B

. Also state the additional condition required for a relation to be called a function. (ii) Let

A=\{1,2,3\}

B=\{4,5\}

and

R=\{(1,4),(1,5),(2,4)\}

. Using the definitions given in part (i), explain clearly whether

R

is a function from

A

B

. (iii) For the relation

R

above, write its domain, co-domain and range as explicit sets.