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Black Book Advanced Problems in MathematicsMathematicsFunctions

Let f : N Z and f(x) = cases x-1 2 & ; when x is odd - x 2 & ; when x is even cases , then :

Options

  1. Af(x) is bijective
  2. Bf(x) is injective but not surjective
  3. Cf(x) is not injective but surjective
  4. Df(x) is neither injective nor surjective

Correct answer

A. f(x) is bijective

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