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# range

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What is the range of the function f(x) = 1/x^3?

May 3, 2022

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Note that for any $$y \neq 0$$, there exists $$x = \dfrac1{\sqrt[3]y}$$ such that $$f(x) = y$$.

Therefore, the range is $$\mathbb R -\{0\}$$.

May 3, 2022