Let g be a continuous function (that is, one with no jumps or holes in the graph) and suppo of y = g'(x) is given by the graph shown below. A 3 2- 10 -3 -2 10 -2 2 a. Observe that for every value of that satisfies 0 < x < 2, the value of g'(x) is constant. What does this tell you about the behavior of the graph of y = g(x) on this interval? b. On what intervals other than 0 < x < 2 do you expect y = g(x) to be a linear function? Use the interval notation. Why? c. At which values of x is g'(x) not defined? What behavior does this lead you to expect to see in the graph of y= g(x)? -3 -2.5 3 1 0 -2 -1 2 2.5 d. Suppose that g(0) = 1. On the axis provided sketch and accurate graph of y = g(x). 3 2-