https://file.aiquickdraw.com/mathbot/file/1726630890346s9a3rgoa.jpg

Let's analyze the graph to solve the given questions:

1. **Evaluate \( g(0) \):**
   - To find \( g(0) \), locate the point on the graph where \( x = 0 \). The y-coordinate at this point represents \( g(0) \).
   - From the graph, when \( x = 0 \), \( g(0) = -1 \).

2. **For what value(s) of \( x \) does \( g(x) = 3 \)?**
   - To find the value of \( x \) where \( g(x) = 3 \), look for the point on the graph where the y-coordinate is 3.
   - From the graph, \( g(x) = 3 \) when \( x = 2 \).

### Answers:
- \( g(0) = -1 \)
- \( x = 2 \) when \( g(x) = 3 \)

Would you like more details on how to interpret such graphs or any other questions? 

Here are 5 related questions:
1. What is the slope of the given linear function?
2. How would you find the x-intercept of the graph?
3. How can you express this linear function algebraically?
4. For what value of \( x \) does \( g(x) = -3 \)?
5. What is the domain and range of this function?

**Tip:** When interpreting a graph, remember that the x-values represent the input to the function, and the y-values represent the output.

Evaluate g(0) and find the value(s) of x where g(x) = 3 using the graph of the function g(x).

Use a linear graph to evaluate g(0) and solve for the value of x where g(x) = 3. This problem covers interpreting linear functions and finding points on a graph. Suitable for students in Grades 6-8.

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