https://file.aiquickdraw.com/mathbot/file/1726683447649f1hml7ip.jpg

Looking at the graph, it seems to represent a sinusoidal function. We are asked to use the graph to complete the table, which provides values of \( g(x) \) for specific values of \( x \).

The table includes three \( x \)-values: -9, 0, and 6. Let's find \( g(x) \) for each of these \( x \)-values from the graph.

### Table:

| \( x \) | \( g(x) \) |
|--------|------------|
|  -9    |   4        |
|   0    |   2        |
|   6    |   5        |

- At \( x = -9 \), the graph shows \( g(x) = 4 \).
- At \( x = 0 \), the graph shows \( g(x) = 2 \).
- At \( x = 6 \), the graph shows \( g(x) = 5 \).

Would you like more details or have further questions?

Here are five related questions for deeper exploration:
1. What is the amplitude of the sinusoidal function shown in the graph?
2. Can you identify the period of the function from the graph?
3. How can we determine the phase shift from the graph of this function?
4. What is the vertical shift of the function based on its graph?
5. How can you model this sinusoidal function using a mathematical equation?

**Tip:** When interpreting a graph, always check the points where the curve crosses the axis and note the peak and trough values for better accuracy.

Use the graph of g(x) to complete the table for specific values of x: -9, 0, and 6.

Learn how to interpret a sinusoidal function from a graph to complete a table with specific values of x. This example involves reading values at x = -9, 0, and 6, and covers concepts such as amplitude, period, and vertical shifts.

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