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Black Book Advanced Problems in MathematicsMathematicsFunctions

Let f: R R defined by f(x) = ⁻¹ (- -x ) , where x is fractional part function. Then which of the following is/are correct ?

Options

  1. Af is many-one but not even function
  2. BRange of f contains two prime numbers
  3. Cf is a periodic
  4. DGraph of f does not lie below x -axis

Correct answer

A. f is many-one but not even function

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