(−∞, ∞)
{x| x∈R}
{x| x≥0}
(0, ∞)
{x| x>0}
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 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}
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.