Q. 9 B5.0( 2 Votes )

Are the following

Answer :

TIP: One – One Function: – A function is said to be a one – one functions or an injection if different elements of A have different images in B.


So, is One – One function


a≠b


f(a)≠f(b) for all


f(a) = f(b)


a = b for all


Onto Function: – A function is said to be a onto function or surjection if every element of A i.e, if f(A) = B or range of f is the co – domain of f.


So, is Surjection iff for each , there exists such that f(a) = b


Here, It is given (a, b): a is a person, b is an ancestor of a


As we know any person “a” has more than one ancestor


Thus,


Given relation is not a function


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