Ex 6.2

Ex 6.2, 1
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Ex 6.2,2

Ex 6.2,3 Important

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Ex 6.2, 6 (a)

Ex 6.2, 6 (b) Important

Ex 6.2, 6 (c) Important

Ex 6.2, 6 (d)

Ex 6.2, 6 (e) Important

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Ex 6.2, 12 (A)

Ex 6.2, 12 (B) Important

Ex 6.2, 12 (C) Important

Ex 6.2, 12 (D)

Ex 6.2, 13 (MCQ) Important

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Ex 6.2,17 Important

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Ex 6.2,19 (MCQ) Important

Last updated at April 19, 2021 by Teachoo

Ex 6.2, 1 (Method 1) Show that the function given by f (đĽ) = 3đĽ + 17 is strictly increasing on R. f(đĽ) = 3đĽ + 17 Finding fâ(đ) fâ(đĽ) = 3 Since fâ(đ) > 0 Hence, f is strictly increasing on R Ex 6.2, 1 (Method 2) Show that the function given by f (x) = 3x + 17 is strictly increasing on R. Let đĽ1 and đĽ2 be real numbers Such that đđ < đ2 Multiplying both sides by 3 3đĽ1 < 3 đĽ2 Adding both sides by 17 3đĽ1 + 17 < 3đĽ2 + 17 f (đđ) < f ( đ2) Hence, when x1 < x2 , f(x1) < f(x2) Thus, f(x) is strictly increasing on R.