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