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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

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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)

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.