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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 \(b\)?

 Aug 11, 2019
 #1
avatar+6045 
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-5 x -2 = 10 is the max value of b

 Aug 12, 2019

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