The range of the linear relation that is graphed above is determined as: Option D. y ≤ 2.
What is the range of a linear relation that is graphed on a coordinate plane?
The range of a linear relation graphed on a coordinate plane is the set of all possible y-values (vertical coordinates) that correspond to points on the graph. In the context of a linear relation, where each x-value (horizontal coordinate) corresponds to a unique y-value, the range is often the set of all real numbers.
In the diagram given above, we see that the line starts from the point where the corresponding y-value is 2, and extends downwards of the graph, which means that the range includes y = 2 and all values below 2.
Therefore, the range is: D. y ≤ 2.