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.