https://file.aiquickdraw.com/mathbot/file/17253899116193jt3wpac.jpg

To solve the problem presented in the image, let's first analyze the graphs provided and understand the functions \(f(x)\) and \(g(x)\) plotted on them. 

### Step-by-Step Analysis:

1. **Identify the Functions:**
   - The left graph represents \(f(x)\), and the right graph represents \(g(x)\).

2. **Determine the Coordinates:**
   - Identify key points (such as intercepts, maxima, minima, and intersections) on each graph to understand the behavior of the functions \(f(x)\) and \(g(x)\).

3. **Solve the Questions:**
   - Let's go through each question in the image.

### Questions and Answers:

1. **Determine \(f(0)\):**
   - Find the y-value when \(x = 0\) on the graph of \(f(x)\).

2. **Determine \(g(2)\):**
   - Find the y-value when \(x = 2\) on the graph of \(g(x)\).

3. **Determine \(f(-2)\):**
   - Find the y-value when \(x = -2\) on the graph of \(f(x)\).

4. **Determine \(g(-1)\):**
   - Find the y-value when \(x = -1\) on the graph of \(g(x)\).

5. **Determine when \(f(x) = 0\):**
   - Find the x-values where the graph of \(f(x)\) intersects the x-axis.

6. **Determine when \(g(x) = 0\):**
   - Find the x-values where the graph of \(g(x)\) intersects the x-axis.

7. **Determine when \(f(x) = g(x)\):**
   - Find the x-values where the graphs of \(f(x)\) and \(g(x)\) intersect.

8. **Determine the maximum value of \(f(x)\):**
   - Find the highest y-value on the graph of \(f(x)\).

9. **Determine the minimum value of \(g(x)\):**
   - Find the lowest y-value on the graph of \(g(x)\).

### Let's analyze the graphs to extract the necessary data.

#### Graph Analysis:
- **\(f(x)\) graph analysis**:
  - \(f(0)\): Check the y-value where the curve intersects x = 0.
  - \(f(x) = 0\): Determine the x-values where the graph touches the x-axis.
  - Maximum of \(f(x)\): Identify the highest point on the curve.
  
- **\(g(x)\) graph analysis**:
  - \(g(2)\): Check the y-value where the curve intersects x = 2.
  - \(g(x) = 0\): Determine the x-values where the graph touches the x-axis.
  - Minimum of \(g(x)\): Identify the lowest point on the curve.

Let's extract the points:

- From **graph \(f(x)\)**, identify the corresponding y-values at given x-values and the x-values at given y-values.
- From **graph \(g(x)\)**, identify the corresponding y-values at given x-values and the x-values at given y-values.

To provide the exact answers, I would need to examine the graph more closely. However, it seems like there's a need for a more high-resolution or closer view to read off the coordinates accurately.

Would you like me to guide you through finding each point step-by-step, or do you have more specific questions about any particular function or property? 

### Relative Questions:
1. How do we find the x-intercepts of a graph?
2. What is the difference between the maximum and minimum of a function?
3. How can we determine if two functions are equal at some point?
4. What are some methods for analyzing a graph effectively?
5. How does the domain and range of a function relate to its graph?

### Tip:
When analyzing a graph, always start by identifying key points (like intercepts and turning points) and look for symmetry or repeating patterns that can help simplify your understanding.

Determine specific values and characteristics of the functions f(x) and g(x) based on their graphs.

Analyze the graphs of functions f(x) and g(x) to determine specific values, including x-intercepts, function values at certain points, and maximum/minimum values. Suitable for students in Grades 9-12.

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