RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 3. Functions

Subject: Maths - Class 11th

Q. No. 1 of Exercise 3D

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Consider the real function f: R R: f(x) = x + 5 for all

x ϵ R. Find its domain and range. Draw the graph of this function.

Given: f(x) = x +5 x є R

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

The domain of the given function is all real numbers expect where the expression is undefined. In this case, there is no real number which makes the expression undefined.

As f(x) is a polynomial function, we can have any value of x.


Domain(f) = (-∞, ∞) {x | x є R}


Let y = f(x)

y = x + 5

x = y – 5

The range is set of all valid values of y


Range(f) = (- ∞, ∞) {y | y ϵ R}



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).