158 or f is decreasing in MATHEMATICS Interval T T 5T 4 4 5 4 2 a increasing in 0 0 7 Sign of f x T 5T 4 4 Rationalised 2023 24 c 2x 9x 12x 1 e x 1 x 3 7 Show that y log 1 x 0 0 0 EXERCISE 6 2 1 Show that the function given by f x 3x 17 is increasing on 2 Show that the function given by f x e x is increasing on R 3 Show that the function given by f x Nature of function f is increasing 6 7 9m f is decreasing f is increasing sin x is c neither increasing nor decreasing in 0 4 Find the intervals in which the function f given by f x 2x 3x is a increasing b decreasing 5 Find the intervals in which the function f given by f x 2x 3x 36x 7 a increasing b decreasing 6 Find the intervals in which the following functions are strictly increasing decreasing a x 2x 5 b decreasing b 10 6x 2x d 6 9x x 2x x 1 is an increasing function of 2 x throughout its domain 8 Find the values of x for which y x x 2 is an increasing function 4 sin 0 9 Prove that y A is an increasing function of in