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

1.

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

Answer»

f is not one-one or injective as f (1) = f (-1) ⇒ 1 = -1

f is not on to or surjective as f(x) = 2 ⇒ x = √2∉ Z

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