Select all representations for the domain of a function given by elevation (in feet) at or above sea level.
{x|x∈R}
{x|x≥0}
[0, ∞)
{x|x>0}
(0, ∞)
(0, ∞)
All of the representations listed are correct for the domain of a function given by elevation at or above sea level.
To select all representations for the domain of a function given by elevation at or above sea level, we need to understand what the domain represents.
The domain of a function refers to all the possible input values for which the function is defined. In this case, the function is defined for elevations at or above sea level, meaning it includes all values that are equal to or greater than sea level.
Now, let's analyze each representation and determine if it selects all the values in the domain.
1. {x|x∈R}: This representation selects all real numbers, including negative numbers. However, since we are interested in elevations at or above sea level, this representation does not fully capture the domain.
2. {x|x≥0}: This representation selects all real numbers greater than or equal to zero. It includes zero and all positive numbers, which aligns with elevations at or above sea level. This is a valid representation for the domain.
3. [0, ∞): This representation is similar to the previous one. It includes zero and all positive numbers, which covers elevations at or above sea level. This is also a valid representation.
4. {x|x>0}: This representation selects all positive numbers, excluding zero. It does not include zero, which means it does not fully capture the domain including elevations at sea level. Therefore, it is not a correct representation.
5. (0, ∞): This representation selects all positive numbers but excludes zero. Similar to the previous representation, it does not include zero and is not a correct representation for the domain.
6. (0, ∞): This is the same as the previous representation, which is not a correct representation.
In conclusion, the correct representations for the domain of a function given by elevation at or above sea level are:
- {x|x≥0}
- [0, ∞)
All of the following representations are correct for the domain of a function given by elevation (in feet) at or above sea level:
{x|x∈R}
{x|x≥0}
[0, ∞)
{x|x>0}
(0, ∞)
(0, ∞)