help? derivatives? shape of graph?

Question

Answer 1

(1)

Step 1:

Observe the graph.

The function f  is increasing for the value of x between to , 1 to 3 and 6 to 7.

Therefore the function f  is increasing over the intervals ,  and .

The function f  is decreasing for the value of x between to 1 and 3 to 6.

Therefore the function f  is decreasing over the intervals and .

Solution :

The fucntion f  is increasing over the intervals ,  and .

The fucntion f  is decreasing over the intervals and .

Answer 2

(2)

Step 1:

Observe the graph.

The function f  is increasing for the value of x between to and 5 to 7.

Therefore the function f  is increasing over the intervals and .

The function f  is decreasing for the value of x between to and to 5.

Therefore the function f  is decreasing over the intervals and .

Solution :

The fucntion f  is increasing over the intervals and .

The fucntion f  is decreasing over the intervals and .