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