https://file.aiquickdraw.com/mathbot/file/1726204929733e56yxv1c.jpg

The question asks which statement is true regarding the graphed functions \( f(x) \) and \( g(x) \). From the image, we have two lines:

- The red line represents \( g(x) \).
- The blue line represents \( f(x) \).

Let’s analyze the values at the relevant points for both functions:

1. **\( f(-2) \)**: Locate \( x = -2 \) on the blue line (which represents \( f(x) \)). From the graph, when \( x = -2 \), the value of \( f(-2) \) seems to be about 2.
  
2. **\( g(0) \)**: Locate \( x = 0 \) on the red line (which represents \( g(x) \)). When \( x = 0 \), \( g(0) \) equals 2.

3. **\( g(-2) \)**: On the red line, when \( x = -2 \), \( g(-2) \) appears to be about -2.

4. **\( f(0) \)**: For \( x = 0 \) on the blue line, \( f(0) \) equals 0.

### Now, let’s evaluate the answer choices:
- **\( f(-2) = g(0) \)**: This is true because \( f(-2) = 2 \) and \( g(0) = 2 \), so both are equal.
  
- **\( f(-2) = g(-2) \)**: This is false because \( f(-2) = 2 \) and \( g(-2) = -2 \).
  
- **\( f(0) = g(0) \)**: This is false because \( f(0) = 0 \) and \( g(0) = 2 \).
  
- **\( f(0) = g(-2) \)**: This is false because \( f(0) = 0 \) and \( g(-2) = -2 \).

### The correct answer is:
- **\( f(-2) = g(0) \)**.

Would you like more details or further clarification?

Here are 5 related questions for practice:
1. How can you determine the slope of each function from the graph?
2. What is the equation of the line for \( f(x) \)?
3. What is the equation of the line for \( g(x) \)?
4. How do you find the intercepts of a function from its graph?
5. Can you explain the difference between parallel and perpendicular lines using the slopes of these functions?

**Tip:** When analyzing a graph, always check key points like intercepts and common values to compare functions effectively.

Which statement is true regarding the graphed functions?

Analyze the given graph to determine the true statement regarding the linear functions f(x) and g(x). Learn how to interpret points on the graph, compare values, and identify the correct relationship between the two functions. Suitable for students in Grades 8-10.

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