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Let N be the set of all natural numbers,...

Let N be the set of all natural numbers, Z be the set of all integers and `sigma:N to Z` defined by
`sigma (n) = {{:(n/2, "," "if n is even"),( - (n-1)/(2) , "," "if n is odd "):}` then

A

`sigma` is one-one but not onto

B

`sigma` is onto but not one-one

C

`sigma` is one-one and onto

D

`sigma` is neither one-one not onto

Text Solution

Verified by Experts

The correct Answer is:
C
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TARGET PUBLICATION-SETS, RELATIONS AND FUNCTIONS-COMPETITVE THINKING
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