Sketch the graph of a function F that has the following properties: a. F is everywhere continuous;

Question:

Sketch the graph of a function F that has the following properties:
a. F is everywhere continuous;
b. F has period π;
c. 0 ≤ F(x) ≤ 2, F(0) = 0, F(π/2) = 2;
d. F'(x) > 0 for 0 < x < (π/2), F'(x) < 0 for π/2 < x < π; 2
(e) F"(x) < 0 for 0 < x < π.