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Let f:N to Z and f (x)=[{:((x-1)/(2),"wh...

Let `f:N to Z and f (x)=[{:((x-1)/(2),"when x is odd"),(-(x)/(2),"when x is even"):},` then:
(a). f (x) is bijective (b).f (x) is injective but not surjective (c).f (x) is not injective but surjective (d).f (x) is neither injective nor subjective

A

f (x) is bijective

B

f (x) is injective but not surjective

C

f (x) is not injective but surjective

D

f (x) is neither injective nor subjective

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The correct Answer is:
A
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