RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 3. Functions

Subject: Maths - Class 11th

Q. No. 3 of Exercise 3D

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Find the domain and the range of the square root function,

f: R+ U {0} R f(x) = for all non-negative real numbers.

Also, draw its graph.



To Find: Domain and Range of f(x).

The domain of the given function is set of all positive real

numbers including 0. In this case, if the value of x is a negative

the number then it makes the expression undefined.


Domain(f) = [0, ∞) x є R+ υ {0}

As the value of x varies from 0 to ∞, value of varies from , Hence,

Range(f) = [0, ∞) x є R+ υ {0}


Chapter Exercises

More Exercise Questions


Consider the function f: R R, defined by

Write its domain and range. Also, draw the graph of f(x).