Q. 39

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)}.

Answer :

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


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