Suppose that \(f(x)\) and \(g(x)\) are functions on \(\mathbb{R}\) such that the range of \(f\) is \([-5,3]\) , and the range of \(g\) is \([-2,1]\). The range of \(f(x) \cdot g(x)\) is \([a,b]\) . What is the largest possible value of \(b\) ?
The largest possible value of b is 9.
