Select all representations for the domain of a function given by time passed since your last meal.
Responses
{x| x≥0}
{x| x≥0}
[0, ∞)
[0, ∞)
(−∞, ∞)
(−∞, ∞)
(0, ∞)
(0, ∞)
{x| x∈R}
{x| x∈R}
{x| x>0}
{x| x≥0}
[0, ∞)
(0, ∞)
{x| x∈R}
{x| x>0}
The correct representations for the domain of a function given by time passed since your last meal are:
{x| x≥0}
[0, ∞)
(0, ∞)
To find the representations for the domain of a function given by time passed since your last meal, we need to first consider what values the independent variable (time passed since your last meal) can take.
In this case, time passed since your last meal cannot be negative because time cannot go backwards. Therefore, the domain starts from 0 (or greater than or equal to 0). This is represented as {x | x ≥ 0} or [0, ∞).
Additionally, since time must always be a positive value (as time cannot be negative), we can also represent the domain as {x | x > 0} or (0, ∞).
Hence, the correct representations for the domain of the function in this case are:
- {x | x ≥ 0} or [0, ∞)
- {x | x > 0} or (0, ∞)