Ex 2.3, 5 - Find range f(x) = 2 - 3x, f(x) = x2 + 2, f(x) = x

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

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Ex 2.3, 5 Find the range of each of the following functions. f(x) = 2 – 3x, x ∈ R, x > 0. Given that x > 0, Multiplying 3 both sides 3x > 0 × 3 3x > 0 Multiplying -1 both sides – 1 × 3x < – 1 × 0 – 3x < 0 Adding 2 both sides 2 – 3x < 2 + 0 (We need to make it in form 2 – 3x) 2 – 3x < 2 f(x) < 2 We note that value of f(x) is less than 2 (not including 2) Hence, Range = ( –∞, 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 14 years. He provides courses for Maths, Science and Computer Science at Teachoo