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The function f: NvecN(N is the set of na...

The function `f: NvecN(N` is the set of natural numbers) defined by `f(n)=2n+3i s` (a) surjective only (b) injective only (c) bijective (d) none of these

A

surjective only

B

injective only

C

bijective

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
`f:N to N, f(n)=2n+3.`
Here, the range of the function is `{5,6,7, …} " or " N-{1,2,3,4},`
which is a subset of N (co-domain).
Hence, function is into.
Also, it is clear that `f(n)` is one-one or injective.
Hence, `f(n)` is injective only.
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