Algebra-2

The function in Option D has a domain of [-8, -2]∪(4, 9] and a range of [-2, 7].

The x-values start from -8 to 9. Then, considering the open and closed circles: the graph includes x=-8, -2 and 9 (closed circles), but excludes x = 4 (open circle). And there is a break between -2 and 4. So, the domain is: [-8, -2]∪(4, 9].

The lowest point is at y = -2 and the highest is at y = 7, which perfectly matches the range [-2, 7].

 

Option A

The graph starts from -2 to 7. This does not satisfy the required domain of [-8, -2]∪(4, 9]. The y-values in this graph vary from y = -8 to y = 9. This does not satisfy the required range of [-2, 7].