To show increasing/decreasing in whole domain
To show increasing/decreasing in whole domain
Last updated at April 16, 2024 by Teachoo
Ex 6.2, 1 (Method 1) Show that the function given by f (đ„) = 3đ„ + 17 is strictly increasing on R. f(đ„) = 3đ„ + 17 Finding fâ(đ) fâ(đ„) = 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 đ„1 and đ„2 be real numbers Such that đđ < đ2 Multiplying both sides by 3 3đ„1 < 3 đ„2 Adding both sides by 17 3đ„1 + 17 < 3đ„2 + 17 f (đđ) < f ( đ2) Hence, when x1 < x2 , f(x1) < f(x2) Thus, f(x) is strictly increasing on R.