Last updated at Dec. 8, 2016 by Teachoo

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Example 10, Let N be the set of natural numbers and the relation R be defined on N such that R = {(x, y) : y = 2x, x, y N}. What is the domain, codomain and range of R? Is this relation a function? Given that y = 2x & x , y N Here, x is a always natural number, So, Domain = Set of natural numbers = N Here, y is always an even number Range = Set of even natural numbers Codomain = Set of Natural numbers = N Here, the first elements (i.e. x) are not repeating. Hence they have unique(one) images(i.e.y). So, this relation is a function

Chapter 2 Class 11 Relations and Functions

Serial order wise

About the Author

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.