Which one the following relations on A = {1, 2, 3} is a function?
f = {(1, 3), (2, 3), (3, 2)}, g = {(1, 2), (1, 3), (3, 1)}.
Given:-
(i) A = {1, 2, 3}
(ii)f = {(1, 3), (2, 3), (3, 2)}
(iii)g = {(1, 2), (1, 3), (3, 1)}.
In case of set A and f
Every element in A has a unique image in f
So, f is a function
In case of set A and g
Only one element has image in g
So, g is not a function