Given information
Provided graph is
Step-by-step explanation
The relation between the graph associated with a function and the value of its derivative states that a function will increase whenever the sign of its derivative is represented by a positive value. The function will decrease whenever the sign of its derivative is represented by a negative value.
From the graph, it follows that the provided function is representing the positive slope associated with the interval so the interval represents the interval associated with the increase of derivative. The intervals and represent the intervals which are associated with the decrease of the derivative because before point 2 on the horizontal axis the slope is represented by a non-positive value and it again becomes negative after point 5 on the horizontal axis.