Step 1:

The graph of the function   on the interval :

Step 2 : 

 A function has relative(or local) maximum at if .

 A function has relative(or local) minimum at if .

Observe the graph,

  has a local maximum at , because .

The local maximum is .

  has a local minimum at , because

The local minimum is . 

Step 3:

The function is increasing for all values of  between to  and to .

The function is increasing over the intervals and .

The function is decreasing for all values of x between to .

The function is decreasing over the interval .

Solution:

Local maximum is .

Local minimum is .

Increasing over the intervals and .

Decreasing over the interval .