Select all representations for the domain of a function given by elevation (in feet) at or above sea level.(2 points) Responses {x|x≥0} start set x such that x is greater than or equal to 0 end set (−∞, ∞ ) (−∞, ∞ ) (0, ∞) (0, ∞) {x|x>0} start set x such that x is greater than 0 end set [0, ∞) [0, ∞) {x|x∈R}

(−∞, ∞), [0, ∞), {x|x≥0}

To determine the representations for the domain of a function that represents elevation at or above sea level, we need to consider the conditions that satisfy this condition.

1) {x|x≥0} or [0, ∞): This representation indicates that the values of x must be greater than or equal to 0. In other words, x can only take on values that are non-negative, including 0 itself.

2) (0, ∞): This representation indicates that the values of x must be strictly greater than 0. The function does not include the point x = 0.

3) {x|x>0} or (0, ∞): This representation is similar to the previous one, indicating that x must be strictly greater than 0.

4) {x|x∈R}: This representation indicates that x can take on any value from the set of real numbers. It does not restrict x to any specific range or conditions.

Therefore, the correct representations for the domain of a function given by elevation at or above sea level are:

- {x|x≥0} or [0, ∞)
- (0, ∞)
- {x|x>0} or (0, ∞)
- {x|x∈R}

It's important to note that different representations may be used interchangeably, but the meaning remains the same.

The representations for the domain of a function given by elevation (in feet) at or above sea level are:

1. {x|x≥0} - This represents the set of all values of x such that x is greater than or equal to 0.

2. (0, ∞) - This represents the interval from 0 to positive infinity, excluding 0.

3. [0, ∞) - This represents the interval from 0 to positive infinity, including 0.

4. {x|x>0} - This represents the set of all values of x such that x is greater than 0.

5. {x|x∈R} - This represents the set of all real numbers, implying that any value of x is valid.

Therefore, the correct representations for the domain of the function are:
{x|x≥0}, (0, ∞), [0, ∞), {x|x>0}, and {x|x∈R}.