https://file.aiquickdraw.com/mathbot/file/1725674640156ebzzc8u0.jpg

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:**

| x   | h(x) |
|-----|------|
| -4  |  3   |
| -2  |  0   |
|  0  | -2   |
|  2  | -2   |
|  4  |  0   |
|  6  |  3   |

### 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?

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### 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.

Rewrite the points on the graph as ordered pairs, as a table, and in function notation.

Learn how to represent a function using ordered pairs, tables, and function notation. This example focuses on graph interpretation, ordered pair identification, and table completion, perfect for students in Grades 6-8.

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