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Given that $f(x) = x^k$ where $k < 0$, what is the range of $f(x)$ on the interval $[1, \infty)$?

 

Given that \(f(x) = x^k\) where \(k < 0\), what is the range of \(f(x)\) on the interval \([1, \infty)\)?

 Mar 14, 2019
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\(x^k,~k<0 \sim \dfrac{1}{x^k},~k > 0\\ \text{It should be pretty clear the range of this is }(0,1], \text{ over a domain of }[1,\infty)\)

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 Mar 14, 2019

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