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Question

A mapping f:NN where N is the set of natural numbers is defined as
f(n)={n2,fornodd2n+1,forneven\ .For nN.Then f is

A
Surjective but not injective
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B
Injective but not surjective
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C
Bijective
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D
Neither injective nor surjective
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Solution

The correct option is C Neither injective nor surjective
As f(3)=f(4)=9
we can say that function is not one-one and y=2 does not exists.we can say that function is not onto. Therefore option D is correct.

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