Question

Select all representations for the domain of a function given by the number of minutes spent studying for this test in the last hour. (1 point)
Responses

[0, ∞)
[0, ∞)

(60, ∞)
(60, ∞)

{x | 0≤ x ≤60}
{x | 0≤ x ≤60}

{x| x∈R}
{x| x∈R}

[0, 60]
[0, 60]

(0, 60)
(0, 60)

{x| x>60}

Answer 1

To determine the appropriate representations for the domain of a function given by the number of minutes spent studying for a test in the last hour, we need to consider the constraints on the number of minutes studied.

Since the study time is measured in minutes over the last hour:

1. **Minimum time**: You can't study for less than 0 minutes.
2. **Maximum time**: You can't study for more than 60 minutes.

Based on these constraints, the correct representations for the domain of the function are:

1. **[0, 60]**: This includes both 0 and 60, meaning you can study for anywhere from 0 minutes to 60 minutes inclusive.
2. **{x | 0 ≤ x ≤ 60}**: This is a set-builder notation that states x can take any value from 0 to 60, inclusive.

Thus, the correct responses are:

- **[0, 60]**
- **{x | 0 ≤ x ≤ 60}**

The other options either include values not possible (such as negative or more than 60 minutes), or they do not fit within the constraints described.