[11]. 12 points
Sketch the graph of h(x) below using the following information:
h(-3) = 2, h(-1) = -1, and h(2) = -1
lim x->β h(x) = +β, and lim x->2 h(x) = 2
h'(x) = 0, at x = -3 and x = 1
h(x) = 0, at x = -3, x = -1, and x = 2
h > 0, on the interval 1, h' < 0, on the interval (-β, -3) and -3, 1
h > 0, on the interval -β, -3 and -1, 2 h < 0, on the interval -3, -1 and 2
Interval Curve f'(x) f"(x)