Learn All Concepts of Chapter 2 Class 11 Relations and Function - FREE. Check - Relation and Function Class 11 - All Concepts
Example 20 - Chapter 2 Class 11 Relations and Functions
Last updated at Jan. 28, 2020 by Teachoo
Transcript
Example 20 Let f = {(1, 1), (2, 3), (0, –1), (–1, –3)} be a linear function from Z into Z. Find f(x). Since f is a linear function, Let f(x) = mx + c. Putting value of x and y in the function For (1, 1) y = mx + c 1 = m(1) + c 1 = m + c m + c = 1 For (2, 3) y = mx + c 3 = m(2) + c 3 = 2m + c 2m + c = 3 Calculating (2) – (1) 2m + c – (m + c) = 3 – 1 2m + c – m – c = 2 2m – m + c – c = 2 m = 2. Putting m = 2 in (1) m + c = 1 2 + c = 1 c = 1 – 2 c = –1 So, f(x) = mx + c = 2x – 1
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
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 You are here
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.