Q. 9 A5.0( 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 (x, y): x is a person, y is the mother of x


As we know each person “x” has only one biological mother


Thus,


Given relation is a function


Since more than one person may have the same mother


Function, not One – One (injective) but Onto (Surjective)


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