https://file.aiquickdraw.com/mathbot/file/1726854334702qiv23htc.jpg

The image presents a table and a graph, both relating to two functions, \( f(x) \) and \( g(x) \).

1. **Table for \( f(x) \)**:
   The table lists values of \( f(x) \) for specific values of \( x \):
   \[
   \begin{array}{|c|c|}
   \hline
   x & f(x) \\
   \hline
   -2 & 0 \\
   -1 & 6 \\
   0 & 4 \\
   1 & 0 \\
   2 & 0 \\
   \hline
   \end{array}
   \]

2. **Graph for \( g(x) \)**:
   The graph appears to represent a function \( g(x) \), which is a smooth curve that crosses the x-axis at points \( x = 0 \), \( x = 1 \), and \( x = 2 \). It shows a local maximum between \( x = 0 \) and \( x = 1 \), and a local minimum between \( x = 1 \) and \( x = 2 \).

The problem seems to ask for analysis of these two functions, potentially comparing their behaviors at certain points or identifying properties like intercepts, maximums, or minimums.

Would you like a more detailed comparison or analysis between \( f(x) \) and \( g(x) \)?

### 5 Follow-up Questions:
1. What is the relationship between the zeros of \( f(x) \) and the graph of \( g(x) \)?
2. Can you determine the maximum and minimum points of \( g(x) \) based on the graph?
3. How does the symmetry of \( f(x)

Given the table for f(x) and the graph of g(x), analyze their behavior and relationships.

This problem provides a table for f(x) and a graph for g(x), asking students to analyze relationships between their behaviors, including zeros, local maxima, and minima. It covers function interpretation and is suitable for students in Grades 9-12.

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