Observe the graph :

over the intervals .

over the intervals and .

I/D test :

If on the interval , then is increasing on the interval .

If on the interval , then is decreasing on the interval .

Therefore, the function is increasing over the intervals .

Therefore, the function is decreasing over the intervals and .

Graph :

Graph the function such that all the above conditions are satisfied :

is decreasing on the interval , hence over the intervals.

is increasing on the interval , hence over the intervals  .

Graph :

Graph the function such that all the above conditions are satisfied :

Graph of the function is

Graph of the function is

.