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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  \(b\) ?

 Oct 29, 2019
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The largest possible value of b is 9.

 Nov 26, 2019

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