https://file.aiquickdraw.com/mathbot/file/1728920889917u1z0rr0h.jpg

To find \( g(6) \), we need to refer to the graph of \( g(x) \) on the left side of the image. This graph is a straight line, which represents a linear function. Here's how we can determine \( g(6) \):

1. Locate \( x = 6 \) on the horizontal axis (the \( x \)-axis).
2. From this point, trace vertically until you hit the line of \( g(x) \).
3. From the point on the line, trace horizontally to the \( y \)-axis to read the corresponding \( y \)-value, which gives \( g(6) \).

From the graph, when \( x = 6 \), the corresponding \( y \)-value is \( g(6) = -2 \).

So, \( g(6) = -2 \).

Would you like more details on how to read values from the graph or on the linear equation? Let me know if you have any questions!

Here are 5 relative questions for further understanding:
1. How do you determine the equation of the line \( g(x) \) from the graph?
2. How would you find the slope of the line representing \( g(x) \)?
3. What does the \( y \)-intercept of a graph represent in this context?
4. How would you solve for \( g(x) \) if the graph was not provided?
5. How does the behavior of linear functions differ from quadratic functions, like \( f(x) \)?

**Tip**: When analyzing graphs, always check key points like the slope and intercept to understand the underlying function more easily.

Learn how to find the value of g(6) from a linear function graph. This problem involves reading coordinates, understanding the slope-intercept form, and interpreting linear functions. Suitable for students in Grades 8-10.

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