Answer:
On a coordinate plane, a step graph has horizontal segments that are each 1 unit long. The left end of each segment is a closed circle. The right end of each segment is an open circle. The left-most segment goes from (negative 3, negative 5) to (negative 2, negative 5). Each segment is 1 unit higher and 1 unit farther to the right than the previous segment. The right-most segment goes from (4, 2) to (5, 2).
Explanation:
The floor function graphs as horizontal segments 1 unit long, each 1 unit up from the segment to its left. It will have a closed circle at the left end of the segment, and an open circle at the right end.
Since 2 is subtracted from the floor of the x-value, the closed circle at the left end of the segment will have coordinates (x, x-2). The only offered choice meeting that condition is the 3rd choice listed here.