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∈R}
{x| x≥0}
{x| x≥0}
{x| x≥0}
(0, ∞)
(0, ∞)
(0, ∞)
{x| x>0}
{x| x>0}
(−∞, ∞)
{x| x∈R}
{x| x≥0}
(0, ∞)
{x| x>0}
The domain of a function represents the set of all possible input values for that function. In this case, the function is "time passed since your last meal." To determine the domain, we need to consider what values are valid inputs for this function.
The time passed since your last meal cannot be negative because time cannot go back. Therefore, we can eliminate the choices that include negative numbers:
(−∞, ∞) and (x| x∈R) both include all real numbers, positive and negative, so they are not valid representations for the domain.
The remaining choices are (0, ∞) and (x| x>0). Both of these choices include all positive real numbers, which makes them valid representations for the domain of this function. However, it is important to note that (0, ∞) is an open interval (excluding zero), while (x| x>0) represents the same range with an open endpoint at zero.
So, the correct representations for the domain of the function "time passed since your last meal" are:
(0, ∞)
{x| x>0}
The representations for the domain of the function given by time passed since your last meal are:
1. (−∞, ∞)
2. {x | x∈R}
3. {x | x≥0}
4. (0, ∞)
5. {x | x>0}
Please note that options 1, 2, and 3 are repeated in the given responses.