RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 3. Functions

Subject: Maths - Class 11th

Q. No. 21 of Exercise 3F

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21

Write the domain and the range of the function, f(x) = –|x|.

(i) Domain


|x | is defined for all real values.


Hence -|x| is also defined for all real values.


The domain is R.


(ii) Range


Range for |x| is [0, ∞)


Therefore, range for - |x| is ( -∞,0].


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