Select all representations for the domain of a function given by time passed since your last meal
- The set of all non-negative real numbers (0, +∞)
- The set of all positive real numbers (0, ∞)
- The set of all rational numbers greater than or equal to 0
- The set of all integers greater than or equal to 0
- The set of all whole numbers greater than or equal to 0
The domain of a function that represents time passed since your last meal can be any non-negative real numbers. Therefore, the representations for the domain can include:
1. Interval notation: [0, +∞)
2. Set-builder notation: {x | x ≥ 0}
3. Inequality notation: x ≥ 0
4. Graphical representation: A number line starting from 0 and extending indefinitely to the right.
5. Verbal representation: "Time passed since your last meal is greater than or equal to 0."
To find the representations for the domain of a function given by time passed since your last meal, you need to consider what values are possible for the input (time passed) in this scenario.
1. Non-negative Real Numbers: In most cases, the domain of time passed since your last meal would be considered as non-negative real numbers. This means that any value greater than or equal to zero is acceptable. This representation would be written as:
Domain = [0, ∞)
The symbol ∞ represents infinity, indicating that there is no upper limit to the time that can elapse since your last meal.
2. Restricted Time Intervals: In certain situations, you may want to impose a restriction on the domain, specifying a minimum and maximum time limit. For example, you could set a minimum of 0 minutes (to exclude negative values) and a maximum of 24 hours (to represent a full day). In this case, the domain representation would be:
Domain = [0, 24]
Here, the square brackets indicate that the endpoints 0 and 24 are included in the domain.
It is important to note that the specific representation for the domain of a function depends on the context and requirements of the problem.