Derivative of a linear piecewise function

On the left is a piecewise linear function. On the left is the derivative of that piecewise linear function.
1) In the left window, drag points A, B, C, D, and E to see how the derivative changes. [br]2) How is the graph formed?[br]3) Why are there open circles in the derivative? Should they be connected? Explain.

Information: Derivative of a linear piecewise function