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 $[-

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2 years ago

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2,1]$. the range of $f(x) \cdot g(x)$ is $[a,b]$. what is the largest possible value of $b$

1 answer:

grigory [225] · Answer 1 · 2023-05-16T22:41:05+03:00

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The largest possible value of b is 10, since for some x = x₀ it could be the case that f(x₀) = -5 and g(x₀) = -2; then f(x₀) g(x₀) = -5 × -2 = 10.