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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)?

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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)?

Aug 9, 2019

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x^k

If k >  0

Then the range  on  [1, infinity)  will be    [1, 0)

Here's some graphs for selected values of k......note that they all have the same range on  [1, inf)

https://www.desmos.com/calculator/eldeljuf1q

Aug 9, 2019