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?

\(-5 \cdot -2 = 10 \text{ is the largest value for $b$}\)

Thanks Rom!