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MHT CET20225 Aug 2022Evening ShiftMathematicsFunctionsActual

If R denotes the set of all real numbers then the function f : R R defined by f(x)=|x| is

Options

  1. Ainjective and surjective.
  2. Bneither injective nor surjective.
  3. Cinjective.
  4. Dsurjective.

Correct answer

B. neither injective nor surjective.

Step-by-step solution

aligned & f : R R , f ( x )=| x | & f (-1)= f (1)=1 aligned i.e. not injection and range of f ( x ) is [0, ] Hence, not surjection

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