Select all representations for the domain of a function given by time passed since your last meal.
Responses
{x| x>0}
[0, ∞)
(0, ∞)
(−∞, ∞)
(
{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:
1. {x| x>0}
2. (0, ∞)
3. {x| x≥0}
To determine the representations for the domain of a function given by time passed since your last meal, we need to consider the possible values that the independent variable (time) can take.
1. {x | x > 0}: This representation means that the domain consists of all real numbers greater than zero. It implies that time passed since your last meal cannot be negative.
2. [0, ∞): This representation uses interval notation and represents the domain as a closed interval from zero to positive infinity. It includes zero and all positive real numbers.
3. (0, ∞): This representation also uses interval notation but represents the domain as an open interval from zero to positive infinity. It includes all positive real numbers but excludes zero.
4. (-∞, ∞): This representation represents the domain as the set of all real numbers. It includes all possible values of time, both positive and negative.
5. {x | x ∈ R}: This representation means that the domain consists of all real numbers. It includes all possible values of time, both positive and negative.
6. {x | x ≥ 0}: This representation means that the domain consists of all real numbers greater than or equal to zero. It includes zero and all positive real numbers.
Based on the nature of time passed since your last meal, the most appropriate representations for the domain would be:
- {x | x > 0}
- [0, ∞)
- (0, ∞)
- {x | x ≥ 0}