part of a line is graphed. which inequalities could describe the domain and range?
To describe the domain and range of a graphed line, we typically use inequalities involving "x" for the domain and inequalities involving "y" for the range.
If only a part of a line is graphed, we can look at the endpoints of the graphed portion to determine the domain and range.
For the domain:
- If the graphed part of the line reaches all the way to the left or right without end, then the domain is (-∞, ∞).
- If the graphed part of the line has an endpoint on the left, then the domain could be described by x ≤ a, where "a" is that x-coordinate.
- If the graphed part of the line has an endpoint on the right, then the domain could be described by x ≥ a, where "a" is that x-coordinate.
- If both endpoints of the graphed portion exist, then the domain could be described by a ≤ x ≤ b, where "a" is the x-coordinate of the left endpoint, and "b" is the x-coordinate of the right endpoint.
For the range:
- If the graphed part of the line reaches all the way up or down without end, then the range is (-∞, ∞).
- If the graphed part of the line has an endpoint at the bottom, then the range could be described by y ≤ c, where "c" is that y-coordinate.
- If the graphed part of the line has an endpoint at the top, then the range could be described by y ≥ c, where "c" is that y-coordinate.
- If both endpoints of the graphed portion exist, then the range could be described by c ≤ y ≤ d, where "c" is the y-coordinate of the bottom endpoint, and "d" is the y-coordinate of the top endpoint.
Keep in mind that these suggestions may vary depending on the specific context of the line you are graphing.