For the function f(x), the practical domain will be [0 min, 165 min]
What is the practical domain?
We define the practical domain as the section of the domain that has practical meaning.
In this case, the part of the domain that we care about is only when the rock climber is on the mountain.
- In this case, we assume that the climb starts at x = 0 minutes.
- After 45 minutes, the climber reaches the top, at x = 45 minutes.
- And the climber stays on the mountain for 2 hours more, until x = 120 min + 45 min = 165 minutes.
After that, the function does not work anymore, then the practical domain will be [0 min, 165 min]
If you want to learn more about domains, you can read:
https://brainly.com/question/1770447
