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A function f from the set of natural num...

A function f from the set of natural numbers N to the set of integers Z is defined by
`f(n)={((n-1)/(2),"when n is odd"),(-(n)/(2),"when n is even"):}`
Then f(n) is -

A

neither one-one nor onto

B

one-one but not onto

C

onto but not one-one

D

one-one and onto both

Text Solution

Verified by Experts

The correct Answer is:
D
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