The function is increasing on the interval .

(a) Over what interval is the graph of  increasing:

, shift the graph of , units to the left.

Replace  by  .

is increasing on the interval .

(b) Over what interval is the graph of  increasing:

, shift the graph of , units to the right.

Replace  by  .

is increasing on the  interval .

(c)

If is a function, then is reflection about the -axis.

The function is decreasing on the interval .

(d)

If is a function, then is reflection about the -axis.

Replace by .

The function is decreasing on the interval .

(a) is increasing on the interval .

(b) is increasing on the  interval .

(c) The function is decreasing on the interval .

(d) The function is decreasing on the interval .