Mathematics

Problem

(a) Define the terms (i) image of an element under a function and (ii) pre-image of an element of the codomain. (b) Let

A=\{1,2,3\}

and

B=\{4,5,6,7\}

. A relation

R

from

A

B

is given by

R=\{(1,4),(2,5),(3,6),(3,7)\}.

Explain clearly whether

R

is a function from

A

B

. (c) The relation in part (b) is changed to

f=\{(1,4),(2,5),(3,6)\}.

(i) Write the image of

2

under

f

. (ii) Write the complete set of pre-images of

6

under

f

. a. a.