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Ex 2.3, 5 - Chapter 2 Class 11 Relations and Functions - Part 3

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Ex 2.3, 5 Find the range of each of the following functions. (ii) f(x) = x2 + 2, x, is a real number. We know that Square of a number will always be positive or 0 So we can say that x2 ≥ 0 Adding 2 both sides x2 + 2 ≥ 0 + 2 x2 + 2 ≥ 2 f(x) ≥ 2 ∴ Range of f = [2, ∞) (We need to make it of form x2 + 2)

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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.