Select all representations for the domain of a function given by time passed since your last meal.
Responses
(−∞, ∞)
(−∞, ∞)
{x| x∈R}
{x| x∈R}
{x| x≥0}
{x| x≥0}
(0, ∞)
(0, ∞)
{x| x>0}
{x| x>0}
[0, ∞)
[0, ∞)
The correct representations for the domain of a function given by time passed since your last meal are:
- (0, ∞)
- {x| x>0}
- [0, ∞)
To determine the domain of a function given by time passed since your last meal, we need to consider the possible values that the input (time) can take.
In this case, we can assume that time cannot be negative since it represents the time elapsed since your last meal. Therefore, the domain must exclude any negative values.
So, the correct representation for the domain of the function is:
{x | x ≥ 0} or [0, ∞)
This represents all real numbers greater than or equal to zero, including zero itself, because time cannot be negative and there is no upper limit.