Below, the graph of the derivative of a function f that is defined and continuous on the set of real numbers is given.
Accordingly,
I. $f ( 2 ) - f ( 1 ) = -2$.\\
II. The function f has a local maximum at the point $x = 0$.\\
III. The second derivative function is defined at the point $x = 0$.
Which of the following statements are true?
A) Only I\\
B) Only III\\
C) I and II\\
D) II and III\\
E) I, II and III