Learn All Concepts of Chapter 2 Class 11 Relations and Function - FREE. Check - Relation and Function Class 11 - All Concepts

Last updated at Jan. 28, 2020 by Teachoo

Learn All Concepts of Chapter 2 Class 11 Relations and Function - FREE. Check - Relation and Function Class 11 - All Concepts

Transcript

Example 11 Examine each of the following relations given below and state in each case, giving reasons whether it is a function or not? (i) R = {(2, 1), (3, 1), (4, 2)} The first elements are 2, 3 and 4 All these are not repeating. Hence, they have unique images. So, this relation is a function. In function, first element is not repeating Example 11 Examine each of the following relations given below and state in each case, giving reasons whether it is a function or not? (ii) R = {(2, 2), (2, 4), (3, 3), (4, 4)} The first elements are 2, 2, 3 and 4 Here 2 is coming twice, i.e. it is repeating Hence, this relation is not a function. In function, first element is not repeating Example 11 Examine each of the following relations given below and state in each case, giving reasons whether it is a function or not? (iii) R = {(1, 2), (2, 3), (3, 4), (4, 5), (5, 6), (6, 7)} The first elements are 1, 2, 3, 4, 5 and 6 . All these are not repeating. Hence, they have unique images. So, this relation is a function. In function, first element is not repeating

Chapter 2 Class 11 Relations and Functions

Concept wise

- Finding Cartesian Product
- Equality of 2 ordered pairs
- Number of elements
- Operations on sets+ cartesian product
- Relations - Definition
- Finding Relation - Set-builder form given
- Finding Relation - Arrow Depiction given
- Number of Relations
- Functions - Definition
- Finding values at certain points
- Different Functions and their graphs
- Finding Domain and Range - By drawing graphs
- Finding Domain and Range - General Method
- Algebra of real functions

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.