Question

The function ​f(x)​ is the number of feet below the surface of the water a diver is at x seconds. After 14 s, the diver reached the maximum distance of 22 ft below the surface of the water. The diver stayed in the water for 20 minutes. What is the practical domain for the function f(x)?

1. All positive real numbers
2. All negative real numbers
3. [−22, 0], left square bracket negative 22 comma 0 right square bracket
4. [0, 1200]

Answer 1

The practical domain for the function f(x) is the interval from 0 to 1200 seconds, corresponding to the total time the diver spent underwater, which is 20 minutes.

Step-by-step explanation:

The practical domain for the function f(x), which represents the number of feet below the surface of the water a diver is at x seconds, is based on the time the diver spent underwater. Since the diver stayed in the water for 20 minutes, and there are 60 seconds in a minute, the total dive time in seconds would be 20 minutes × 60 seconds/minute = 1200 seconds. Therefore, the practical domain of the function would be the interval from 0 to 1200 seconds, as the diver cannot be underwater before time starts (at 0 seconds) and must surface after 1200 seconds (20 minutes).