In the rectangular coordinate plane, the graph of a function f defined on the interval $[ 0,2 ]$ is given below.
Accordingly,\\
I. $( f \circ f ) ( x ) = 2$\\
II. $( f \circ f ) ( x ) = 1$\\
III. $( f \circ f ) ( x ) = 0$\\
Which of these equalities are satisfied for exactly two different values of x?\\
A) Only I\\
B) Only II\\
C) Only III\\
D) I and II\\
E) II and III