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Most Important Selected Qs for JEE AdvancedMathematicsFunctions

Let f be a real valued function defined on R (the set of all real numbers) as f(x)= x , then which of the following is(are) correct? [Note: where denotes fractional part function.]

Options

  1. ARange of f(x) is [0, )
  2. B_ x 2 f(x)= 2
  3. C₀^ 2 f(x) d x= ^2
  4. Df^ ( 5 2 )=1

Correct answer

D. f^ ( 5 2 )=1

Step-by-step solution

Graph of y=f(x) Clearly, range of f(x) is [0, ) ₀^ 2 f(x) d x=2 1 2 = ^2

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