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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 $b$?

 Mar 1, 2021
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We're looking for the largest value of f(x) * g(x). 

So, -5 * -2 = 10 which is the largest number. 

So the answer is 10.

 

=^._.^=

 Mar 1, 2021

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