Observe the graph.

Let the position function be .

The velocity function will be .

The acceleration function will be .

If  (Speeds up) on the interval, then  is increasing on the interval.

If  (Speeds down) on the interval, then  is decreasing on the interval.

Similarly,

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

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

Graph :

Identify the function using above characteristics and Label the corresponding functions.

Graph of the position, velocty and acceleration function is

.