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

Show that the function given by f(x) = 7x – 3 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 )

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

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

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) = e^(2x) is strictly increasing on R.

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

Prove that the function f given by f (x) = log |cos x| is decreasing on (0,(pi)/(2)) and increasing on ((3pi)/(2) ,2pi) .

Prove that the function given by f(x) = cos x is (c) neither increasing nor decreasing in (0 , 2pi) .