Chapter 2 - Functions - 2.2 Domain and Range - Exercises and Problems for Section 2.2 - Exercises and Problems - Page 82: 29

Domain is $0 \leq t \leq 12$ Range is $0 \leq f(t) \leq 200$

Since the restaurant opens at $2 \mathrm{pm}, t=0$, and closes at $2 \mathrm{am}, t=12$, a reasonable domain is $0 \leq t \leq 12$. Since there cannot be less than 0 clients in the restaurant and 200 can fit inside, the range is $0 \leq f(t) \leq 200$.