Mathematics

Problem

(i) Define (a) a function and (b) the range of a relation. (ii) Let

A=\{1,2,3\}

and

B=\{3,4,5\}

. A relation

R

from

A

B

is given by

R=\{(1,3),(2,5),(1,4),(3,5)\}.

Determine whether

R

is a function from

A

B

, clearly stating the reason for your answer. (iii) State the domain, co-domain, and range of

R

. If

R

is not a function, identify the ordered pair that violates the definition.