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Class 12 Relations And Functions · Mcq Single Correct1 Markstypes_of_functions

Class 12 Maths · Relations And Functions · Mcq Single Correct #56

A mapping \(f:\mathbb{N}\to\mathbb{N}\) is defined by \(f(n)=(n+5)^2\), where \(\mathbb{N}\) denotes natural numbers. Then

✅ Step-by-Step Solution

Final Answer: Option (D): f is one-to-one but not onto
  1. The values strictly increase for positive integer inputs, so the function is injective. Many natural numbers, including 1, have no preimage, so it is not onto.

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