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

(60, ∞)
(60, ∞)

{x| x∈R}
{x| x∈R}

{x | 0≤ x ≤60}
{x | 0≤ x ≤60}

[0, ∞)
[0, ∞)

(0, 60)
(0, 60)

[0, 60]
[0, 60]

{x| x>60}

Answer 1

To determine the appropriate representations for the domain of the function given by the number of minutes spent studying for a test in the last hour, we consider the following:

1. The maximum amount of time that can be studied in the last hour is 60 minutes.
2. The minimum amount of time spent studying can be 0 minutes.

Taking these points into consideration, the valid representations for the domain of the function are:

- **{x | 0 ≤ x ≤ 60}**: This includes all minutes from 0 to 60, inclusive of both endpoints.
- **[0, 60]**: This is a closed interval that also includes all minutes from 0 to 60, inclusive of both endpoints.

The other representations either extend beyond 60 minutes, represent values that are not possible (like negative minutes), or do not fit the constraints of the given scenario.

Thus, the valid selections are:

- **{x | 0 ≤ x ≤ 60}**
- **[0, 60]**