Let\(f(x) = \left\{ \begin{array}{cl} ax+3 & \text{ if }x>0, \\ ab & \text{ if }x=0, \\ bx+c & \text{ if }x<0. \end{array} \right.\)If \(f(2)=5, f(0)=5, \)\(f(-2)=-10\) and a,b and c are nonnegative integers, then what is a+b+c?
a + b + c = 1 + 6 + 2 = 9.
