Compare the graphs of f(x) = -sqrt(x) and g(x) = -cbrt(x). Which of the following f...

The domain of $f(x) = -\sqrt{x}$ is $[0, \infty)$, and its range is $(-\infty, 0]$. The domain of $g(x) = -\sqrt[3]{x}$ is $(-\infty, \infty)$, and its range is $(-\infty, \infty)$. Therefore, neither the domains nor the ranges are the same. Both functions are decreasing. However, the question asks which feature is true. Observing the graphs, both functions are indeed decreasing. Let's re-evaluate. The domain of $f(x)$ is $x \ge 0$. The range of $f(x)$ is $y \le 0$. The domain of $g(x)$ is all real numbers. The range of $g(x)$ is all real numbers. Both graphs are decreasing. However, the options provided are: 1. The graphs have the same domains. (False) 2. The graphs are both increasing. (False) 3. The graphs have the same ranges. (False) 4. The graphs are both decreasing. (True).