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 15 Define the real valued function f : R โ {0} โ R defined by f (x) = 1/๐ฅ x โ R โ {0}. Complete the Table given below using this definition. What is the domain and range of this function? Given f(x) = 1/๐ฅ , x โ R โ {0} Finding f(x) at different values of x f(โ2) = 1/(โ2) = โ 0.5 f(โ1.5) = 1/(โ1.5) = โ10/15 = โ2/3 = โ 0.66 f(โ1) = 1/(โ1) = โ1 f(โ0.5) = 1/(โ0.5) = โ10/5 = โ 2 f(0.25) = 1/0.25 = 100/25 = 4 f(0.5) = 1/0.5 = 10/5 = 2 f(1) = 1/1 = 1 f(1.5) = 1/1.5 = 10/15 = 2/3 = 0.66 f(2) = 1/2 = 0.5 So, our table looks like Domain and Range Given f(x) = 1/๐ฅ , x โ R โ {0} For x = 0, y = 1/0 = Not Defined For y = 0, x = 1/0 = Not Defined Hence, x & y can be any real number except 0 Domain = All possible values of x = R โ {0} Range = All possible values of f(x) or y = R โ {0}

Examples

Example 1

Example 2

Example 3

Example 4 Important Not in Syllabus - CBSE Exams 2021

Example 5

Example 6

Example 7

Example 8 Important

Example 9

Example 10 Important

Example 11

Example 12

Example 13

Example 14 Important

Example 15 Important You are here

Example 16 Not in Syllabus - CBSE Exams 2021

Example 17 Important Not in Syllabus - CBSE Exams 2021

Example 18

Example 19 Important

Example 20 Important

Example 21 Important

Example 22 Important

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 9 years. He provides courses for Maths and Science at Teachoo.