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BITSAT2024MathematicsFunctionsActual

f(x)= x [ 2 x ]+ 1 2 , where x is not an integral multiple of and [.] denotes the greatest integer function, is

Options

  1. Aan odd function
  2. Ban even function
  3. Cneither odd nor even
  4. DNone of these

Correct answer

A. an odd function

Step-by-step solution

=- x [ 2 x ]+ 1 2 =-f(x) Therefore, f(x) is an odd function.

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