Show that the function given by f(x) = 7x – 3 is increasing on R.

Show that the function given by f (x) = 3x + 17 is increasing on R.

Show that the function given by f (x) = e ^(2x) is increasing on R.

Show that the function given by f (x) = sin x is (a) increasing in (0,(pi)/(2)) (b) decreasing in ((pi)/(2) ,pi) (c) neither increasing nor decreasing in (0, pi )

Let I be any interval disjoint from [–1, 1]. Prove that the function f given by 1 f(x) =x+(1)/(x) is increasing on I.

Show that the function given by f(x) = 3x + 17 is strictly increasing on R.

Show that the function given by f(x) = e^(2x) is strictly increasing on R.

Find the intervals in which the function f given by f(x) = 2x^(2) – 3x is (a) increasing (b) decreasing

Show that the function given by f(x) = sin x is (c) neither increasing nor decreasing in (0 , pi) .

For what values of a the function f given by f(x) = x^(2) + ax + 1 is increasing on [1, 2]?