Example 10 - Chapter 2 Class 11 Relations and Functions

Last updated at Dec. 13, 2024 by

Example 10 - R = {(x, y): y=2x} What is domain, codomain, range

Example 10 - Chapter 2 Class 11 Relations and Functions - Part 2

Remove Ads

Transcript

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

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo