f: R R

This is known as signum function.


Let us check value of f(x) for different values of x

For x = –1

x < 0

So, f(x) = –1

 

For x = –2

x < 0

So, f(x) = –1

 

For x = 1

x > 0

So, f(x) = 1

 

For x = 2

x > 0

So, f(x) = 1

 

For x = 0

x = 0

So, f(x) = 0

 


Now,

Plotting graph

Signum Function.jpg

Here,

Domain = All values of x = R

 

Range = All values of y

Since y will have value 0, 1 or –1

Range = {0, 1, –1}

  1. Chapter 2 Class 11 Relations and Functions
  2. Concept wise

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.