RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 3. Functions

Subject: Maths - Class 11th

Q. No. 11 of Exercise 3F

Listen NCERT Audio Books - Kitabein Ab Bolengi

11

Write the domain and the range of the function,.

Given, f(x) =


Where [x] is the Greatest Integer Function of x.


f(x) =


where {x} is fractional part of x.


The graph of f(x) is



(i) dom(f)


Domain of{x} is R.


The value of the fractional part of x is always either positive or zero.


Hence domain of f(x) is R.


(ii) range(f)


Range of {x} is [0,1).


As the root value [0,1) between interval lies between [0,1).


Hence range of f(x) is [0,1).


Chapter Exercises

More Exercise Questions