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KCET2025MathematicsFunctions

If f(x)= [ ^2 ] x- [- ^2 ] x , where [x]= greatest integer x , then which of the following is not true?

Options

  1. Af(0)=0
  2. Bf ( 2 )=1
  3. Cf ( 4 )=1+ 1 2
  4. Df( )=-1

Correct answer

D. f( )=-1

Step-by-step solution

aligned & f(x)= [ ^2 ] x- [- ^2 ] x & = 9 x- (-10) x & = 9 x+ 10 x & f( )= 9 + 10 =0 aligned

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