Answer:
B
Step-by-step explanation:
Recall that the domain is the span of x-values covered by the graph, while the range is the span of y-values covered by the graph.
From the graph, we can see that the span of x-values covered goes from x=-2 to x=1.
However, note that while at x=-2, the dot is closed, while at x=1, the dot is open. This means that we do not include the point at x=1. Therefore, the domain is all values of x between x=-2 and x=1 not including x=1.
In set notation, this is:
[tex]\{x|-2\leq x<1\}[/tex]
Thus, the domain is all values greater than or equal to -2 but less than 1.
For the range, we can see that the graph spans from y=-4 to y=2. Again, at y=2, the dot is open. Thus, we do not include y=2 in our range.
In set notation, this is:
[tex]\{y|-4\leq y<2\}[/tex]
This is interpreted as all y-values greater than or equal to -4 but less than 2.
The answer is B
