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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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