Check sibling questions

Misc 6 - Let f = { (x, x2 / 1 + x2): x R}. Find range - Chapter 2

Misc 6 - Chapter 2 Class 11 Relations and Functions - Part 2

Get live Maths 1-on-1 Classs - Class 6 to 12


Transcript

Misc 6 Let f = {("x, " π‘₯2/(1+π‘₯2)) : x ∈ R } be a function from R into R. Determine the range of f. f = { ("x , " π‘₯2/(1+π‘₯2)) : x ∈ R } We find different values of π‘₯2/(1 + π‘₯2) for different values of x Domain Value will always be between 0 & 1 We note that Value of range y = π‘₯2/(1 + π‘₯2) 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)

Ask a doubt
Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.