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Functions

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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 $b$?

Apr 5, 2021

#1
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The upper bound is given when f(x) is $-5$ and g(x) is $-2$, which when multiplied equals $\boxed{10}$

Apr 5, 2021
edited by RiemannIntegralzzz  Apr 5, 2021
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