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BITSAT Mathematics Functions 2024 BITSAT 2024 (Memory Based Paper 2)

BITSAT Mathematics Question (2024) — Solution

Question

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

Options

  1. A. an odd function
  2. B. an even function
  3. C. neither odd nor even
  4. D. None of these

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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