The position (in thousands of feet) of a car driving along a straight road at time in minutes is given by the function that is pictured below.

Graph of position versus time.
Let denote the velocity of the car (in thousands of feet per minute) at time (in minutes). Which graph A-F is the best representative of the derivative function ?

Graph of a function.   Graph of a function.   Graph of a function.
A   B   C
Graph of a function.   Graph of a function.   Graph of a function.
D   E   F

(Note: the vertical axes of these graphs may have been scaled to to fit these functions. Click on a graph to enlarge it.)

Which of the following statements are true? Select all that apply.









In order to get credit for this problem all answers must be correct.