Algebra-2

The function in Option B has a domain of (-∞, 4] and a range of [-9, 7].

The x-values start from -∞ to 4, where there is a closed circle at x = 4, meaning 4 is included. So, the domain is: (-∞, 4].

The lowest point is at y = -9 and the highest is at y = 7, which perfectly matches the range [-9, 7].

 

Option A

The y-values in this graph vary from y = -9 to y = 7, so the range [-9, 7] is correct. However, the graph starts at x = -4 and extends to positive infinity. This does not satisfy the required domain of (-∞, 4].