To determine the domain of the relation represented by the given points, we need to identify the x-coordinates of all the points listed. The points provided are:
- (2, 1)
- (4, 1)
- (1, 2)
- (5, 2)
- (0, 3)
- (6, 3)
- (-1, 4)
- (7, 4)
- (-2, 5)
The x-coordinates are:
- 2
- 4
- 1
- 5
- 0
- 6
- -1
- 7
- -2
Now, let's list all these x-coordinates together: -2, -1, 0, 1, 2, 4, 5, 6, 7
The smallest x-coordinate is -2 and the largest is 7. Therefore, the domain of the relation is all x-values represented by the points, which can be expressed in interval notation as:
Domain: \([-2, 7]\)
None of the options you've provided seem to match this domain exactly. However, if we interpret the options:
- All real numbers greater than or equal to 0 - Incorrect, as there are negative values in the domain (-2).
- All real numbers - Incorrect, as the x-values are limited to -2 through 7.
- All real numbers between -6 and -4 - Incorrect, as this range does not include most x-values we have.
- All real numbers greater than -2 - This is partially acceptable, but it excludes -2 itself, which is part of the domain.
Thus, none of the provided options accurately describe the domain of the relation considering all the x-coordinates of the points listed. If you are looking for the best match, option 4 is the closest one, but it's still not entirely correct.