Sketch the graph of a function F that has all the following properties:
a. F is everywhere continuous;
b. F(-1) = 6, F(3) = -2;
c. F'(x) < 0 for x < -1, F'(-1) = F'(3) = -2, F(7) = 0;
d. F"(x) < 0 for x < -1, F"(x) = 0 for -1 < x < 3, F"(x) > 0 for x > 3.