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  • Can someone help me with this, If f(x) = [x] -x . Then the range of f(x) is

If f(x) = [x] -x . Then the range of f(x) is 

  • Option 1)

    [0,1]

  • Option 2)

    [0,1)

  • Option 3)

    (-1,0]

  • Option 4)

    (0,1]

 

Answers (1)

best_answer

As we have learned

Fractional part function -

\left \{ x \right \}=x-\left [ x \right ] \right

When  \left [ x \right ]  Greatest Integer Function

 

- wherein

Range \in \left [\left 0,1 \right ) \right

 

 

 Since f(x) = [x] -x = -{x } 

 Range of - {x} is (-1,0]

 

 

 

 


Option 1)

[0,1]

Option 2)

[0,1)

Option 3)

(-1,0]

Option 4)

(0,1]

Posted by

Himanshu

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