The functions and are shown below.
graph of a piecewise linear function extending from (0,0) to (2,2) to (4,0)graph of a piecewise linear function extending from (0,0) to (0.5,-1) to (1.5,1) to (2.5,-1) to (3.5,1) to (4,0)

If the motion of a particle whose position at time is given by , , sketch a graph of the resulting motion and use your graph to answer the following questions:

(a) The slope of the graph at is
(enter undef if the slope is not defined)

(b) At this point the particle is moving and .

(c) The slope of the graph at is
(enter undef if the slope is not defined)

(d) At this point the particle is moving and .

You can earn partial credit on this problem.