1. The problem asks where the function $m(p) = \sqrt{p}$ is continuous. 2. The square root function $\sqrt{p}$ is defined only for $p \geq 0$ because the square root of a negative number is not a real number. 3. A function is continuous on its domain, so we need to find the domain of $m(p)$. 4. The domain of $m(p)$ is all $p$ such that $p \geq 0$. 5. Therefore, $m(p)$ is continuous for all nonnegative numbers. Final answer: a. all nonnegative numbers