Set Theory and Algebra MCQ

1:

Let Z denote the set of all integers.
Define f : Z —> Z by
f(x) = {x / 2 (x is even)
            0     (x is odd)
then f is

A.

onto but not one-one

B.

one-one but not onto

C.

one-one and onto

D.

neither one-one nor-onto

 

Answer : A

Explanation :

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Option: A

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