Example 10 - Chapter 2 Class 11 Relations and Functions
Last updated at Jan. 28, 2020 by Teachoo
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
Examples
Example 1
Example 2
Example 3
Example 4 Important
Example 5
Example 6
Example 7
Example 8 Important
Example 9
Example 10 Important You are here
Example 11
Example 12
Example 13
Example 14 Important
Example 15 Important
Example 16
Example 17 Important
Example 18
Example 19 Important
Example 20 Important
Example 21 Important
Example 22 Important
Chapter 2 Class 11 Relations and Functions
Serial order wise
- Ex 2.1
- Ex 2.2
- Ex 2.3
-
Examples
- Miscellaneous
About the Author
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.