https://file.aiquickdraw.com/mathbot/file/1726454699264zrkeh8v5.jpg

Let's analyze the graph and the two questions based on it:

1. **To find \( g(0) \):**
   - This means finding the value of the function \( g(x) \) when \( x = 0 \).
   - From the graph, locate the point where \( x = 0 \) (on the y-axis).
   - The graph shows that when \( x = 0 \), \( g(0) = 2 \).

2. **To find one value of \( x \) such that \( g(x) = 0 \):**
   - This asks for the value of \( x \) where the function crosses the x-axis (i.e., where \( g(x) = 0 \)).
   - From the graph, the function crosses the x-axis at \( x = -2 \).

### Answers:
- (a) \( g(0) = 2 \)
- (b) One value of \( x \) for which \( g(x) = 0 \) is \( x = -2 \).

Would you like more details on the calculations or any other clarifications?

Here are 5 related questions to explore this further:
1. How can you calculate the slope of the line using two points from the graph?
2. What would \( g(1) \) be from this graph?
3. Can there be more than one value of \( x \) such that \( g(x) = 0 \) for different graphs?
4. How does the equation of the line relate to the function values shown?
5. What is the y-intercept of the line, and how does it help find \( g(0) \)?

**Tip:** The point where the graph crosses the y-axis gives the value of the function at \( x = 0 \), known as the y-intercept.

Find g(0) and one value of x for which g(x) = 0 using the graph provided.

Learn how to find the value of a function at g(0) and one value of x for which g(x) = 0 using the graph of a linear function. Explore key concepts in graphing functions and solving for zero, suitable for students in Grades 6-8.

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