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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 8, 2019
 #1
avatar+6046 
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\(-5 \cdot -2 = 10 \text{ is the largest value for $b$}\)

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 Oct 8, 2019
 #2
avatar+1195 
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Thanks Rom!

 Oct 8, 2019

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