Let's analyze the graph to fill in the requested information:

1. Identifying Ordered Pairs:

The points on the graph are as follows:

• Point 1: (-4, 3)
• Point 2: (-2, 0)
• Point 3: (0, -2)
• Point 4: (2, -2)
• Point 5: (4, 0)
• Point 6: (6, 3)

2. Ordered Pairs in Set Notation:

The ordered pairs can be written as: $h(x) = \{(-4, 3), (-2, 0), (0, -2), (2, -2), (4, 0), (6, 3)\}$

3. Filling in the Table:

4. Function Notation:

• $h(-4) = 3$
• $h(-2) = 0$
• $h(0) = -2$
• $h(2) = -2$
• $h(4) = 0$
• $h(6) = 3$

Would you like any further details or explanations?

Here are 5 related questions:

1. How do you determine the domain and range of the function $h(x)$ based on the graph?
2. Can you identify if this function is one-to-one based on the graph?
3. How would the graph change if $h(x)$ was shifted vertically by 2 units?
4. What is the importance of using function notation in mathematics?
5. How do you find the inverse of the function $h(x)$ based on the given graph?

Tip:

When writing ordered pairs, always ensure that the x-coordinate is written first followed by the y-coordinate in parentheses, separated by a comma.