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

  1. Chapter 2 Class 11 Relations and Functions
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Misc 6 Let f = {("x, " ๐‘ฅ2/(1+๐‘ฅ2)) : x โˆˆ R } be a function from R into R. Determine the range of f. f = { ("x , " ๐‘ฅ2/(1+๐‘ฅ2)) : x โˆˆ R } We find different values of ๐‘ฅ2/(1 + ๐‘ฅ2) for different values of x It can be seen that value of range y = ๐‘ฅ2/(1 + ๐‘ฅ2) 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 is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.