Last updated at May 29, 2018 by Teachoo

Transcript

Misc 6 Let f = {("x, " ๐ฅ2/(1+๐ฅ2)) : x โ R } be a function from R into R. Determine the range of f. f = { ("x , " ๐ฅ2/(1+๐ฅ2)) : x โ R } We find different values of ๐ฅ2/(1 + ๐ฅ2) for different values of x It can be seen that value of range y = ๐ฅ2/(1 + ๐ฅ2) is always positive Also, it is always between 0 and 1 Hence, Range is any positive integer between 0 and 1 with 0 included Thus, range of f = [0, 1)

Finding Domain and Range - General Method

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.