How can I determine this function? If i know that$$ f(3)-f(-1/2) = 7$$ and $$ f(2)-f(1/2) = 3 $$ and $$f(3/2)-f(-2) =7$$ How can I determine the function? 

$$
f(x) = \left\{
        \begin{array}{ll}
110004 & \quad x = -2 \\
68 & \quad x = -\frac{1}{2} \\
4 & \quad x = \frac{1}{2} \\
110011 & \quad x = \frac{3}{2} \\
7 & \quad x = 2 \\
75 & \quad x = 3 \\
0 & \quad x\neq-2,-\frac{1}{2},\frac{1}{2},\frac{3}{2},2,3
        \end{array}
    \right.
$$
