Question 1 asks for the domain of the graph, with options A: 1 ≤ x ≤ 4, B: 1 < x < 4, C: 1 < y < 4, D: 1 ≤ y ≤ 4.

I'll work through each question step by step.

Question 1: What is the domain of the graph?

Looking at the first graph, I need to find the domain (x-values where the function exists).
- The graph appears to be a line segment
- It starts at x = 1 and ends at x = 4
- Both endpoints appear to be included (solid dots)
- Domain refers to x-values, not y-values

So the domain is: 1 ≤ x ≤ 4

Answer: A

Question 2: How many relative maximums does this function have?

A relative maximum is a peak - a point that's higher than all nearby points.
- Looking at the wavy curve, I can see peaks where the function changes from going up to going down
- Counting the peaks: there's one on the left, one in the middle (the highest), and one on the right
- That's 3 relative maximums total

Answer: C

Question 3: What is the absolute maximum?

The absolute maximum is the highest y-value the function reaches overall.
- This is a downward parabola
- The vertex (highest point) appears to be at approximately y = 6.5 or 7
- Looking at the grid, the peak is between 6 and 7, closer to 6.5
- Since it's a parabola opening downward, there IS an absolute maximum

Answer: B (6.5)

Question 4: What is the domain and range of the function?

This is also a downward parabola.
- Domain: The parabola extends infinitely left and right, so domain is all real numbers
- Range: The parabola opens downward with a maximum value around y = 7, and goes down to negative infinity, so range is y ≤ 7 (or all real numbers less than or equal to 7)

Wait, let me reconsider based on what might be asked. If this is asking for specific interval notation or if the graph shows a restricted portion...

Actually, looking more carefully at typical multiple choice options for such questions, and since I don't see the answer choices fully visible, but based on standard parabola properties:
- Domain: All real numbers (−∞, ∞)
- Range: (−∞, 7] or similar, depending on the exact maximum

Since I can't see all the answer choices clearly for question 4, I'll provide answers for questions 1-3 which are clear.

Final Answer:
1. A (1 ≤ x ≤ 4)
2. C (3)
3. B (6.5)
4. Domain: All real numbers; Range: y ≤ 7 (approximately)