https://file.aiquickdraw.com/mathbot/file/1725408116790jtjs7dql.jpg

To find \( g(-3) \), we need to use the graph of the function \( g(x) \) provided in the image. 

### Steps to Solve:
1. **Locate \( x = -3 \)** on the x-axis of the graph.
2. **Determine the corresponding \( y \)-value** (which is \( g(-3) \)) on the graph by seeing where the line intersects the vertical line at \( x = -3 \).

Looking at the graph:

- For \( x = -3 \), the line \( g(x) \) intersects the y-axis at \( y = -4 \).

Thus, \( g(-3) = -4 \).

Would you like more details or have any questions? Here are some related questions to consider:

1. What is the slope of the function \( g(x) \) in the graph?
2. How can you find the equation of the line represented by \( g(x) \)?
3. What is the value of \( g(2) \) based on the graph?
4. How would you determine \( g(x) \) for any other \( x \) value using the graph?
5. How does the function \( g(x) \) compare with the given function \( h(x) = 2x^2 + 5x - 2 \)?

**Tip:** When interpreting graphs, always start by identifying key points like intercepts and slopes, which provide insight into the function's behavior.

Learn how to find the value of g(-3) using the graph of a linear function. This problem focuses on interpreting linear graphs and understanding the slope-intercept form, suitable for students in Grades 7-9.

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