The domain of a graph is the set of input values the graph can take.
The graph that represents y = [x] over the domain -4≤x≤-1 is the 1st graph.
The domain is given as:
[tex]\mathbf{-4 \le x \le -1}[/tex]
The inequalities at -4 and -1 are both "less than or equal to"
In inequalities, "less than or equal to" is represented by a closed circle
This means that, the circles at x = -4 and x =-1 on the graph must be a closed circle.
From the given options, we have the following observations
- Graph 1 has closed circles at x =-4 and x = -1
- Graph 2 (beside graph 1) has a closed circle at x =-4 and an open circle x = -1
- Graph 3 (under graph 1) ends at x = -1, with an open circle
- Graph 4 has a closed circle at x =-4 and an open circle x = -1
Hence, the graph that represents y = [x] over the domain -4≤x≤-1 is the 1st graph.
Read more about domains at:
https://brainly.com/question/2709928
