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# help plz (i think i might have posted this before but i can't find the question)

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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

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