Check the injectivity and surjectivity of the following functions: f – InterviewSolution

1.

Check the injectivity and surjectivity of the following functions: f : N → N given by f(x) = x2

Answer»

Let x₁, x₂ ∈ N

f(x₁) = f(x₂) ⇒ x³₁ = x³₂

hence one-one

Range of f= {1,8,27,…… } ≠ N

f is not surjective.

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