Short Answer 
The step graph consists of horizontal segments of 1 unit length, marked with closed circles on the left and open circles on the right. The first segment starts at (-3, -5) and the subsequent segments are positioned progressively higher and to the right, creating a stair-like effect, while the floor function is expressed using the coordinates (x, x-2).
Step 1: Understanding the Step Graph
A step graph on a coordinate plane consists of horizontal segments that measure 1 unit in length. Each segment features a closed circle on the left end and an open circle on the right end. This means that the graph indicates that a specific value at the segment’s left side is included, while the value at the right side is not, creating a clear visual distinction.
Step 2: Identifying the Initial Segment
The first segment of the step graph starts at the coordinates (negative 3, negative 5) and ends at (negative 2, negative 5). Each subsequent segment that follows will be located 1 unit higher in value and 1 unit to the right of the previous segment. Consequently, this creates a stair-like effect as the graph progresses to the right.
Step 3: Applying the Floor Function
The behavior of a floor function is represented in the graph by these horizontal segments, where 2 is subtracted from the floor of the x-value, resulting in certain coordinates. At each segment’s left end, the coordinates can be described as (x, x-2). This logical description helps in identifying key characteristics of the graph and any options that are available based on the given conditions.