A function f is continuous on the closed interval $[ 0,6 ]$ and differentiable on each of the open intervals $( 0,3 ) , ( 3,4 ) , ( 4,6 )$. The graph of its derivative $f ^ { \prime }$ is given in the rectangular coordinate plane below.
$$\begin{gathered}
\text{Let } 0 < c < 2 \text{ and } \\
f ( 0 ) = 5
\end{gathered}$$
Accordingly, which of the following could be the value of f(6)?\\
A) 5,5\\
B) 7,3\\
C) 10,1\\
D) 12,7\\
E) 14,9