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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

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.