https://file.aiquickdraw.com/mathbot/file/1727413211127leuqxqsu.jpg

From the graph provided, we need to find the values of the function \( f \) at two specific points: \( f(-14) \) and \( f(-4) \).

### Steps:
1. **Find \( f(-14) \)**:
   - Locate \( x = -14 \) on the graph.
   - The point corresponding to \( x = -14 \) is \((-14, -4)\).
   - Therefore, \( f(-14) = -4 \).

2. **Find \( f(-4) \)**:
   - Locate \( x = -4 \) on the graph.
   - The point corresponding to \( x = -4 \) is \((-4, -4)\).
   - Therefore, \( f(-4) = -4 \).

### Final answers:
- \( f(-14) = -4 \)
- \( f(-4) = -4 \)

Would you like more details or have any other questions? 

Here are 5 related questions to explore further:
1. How do we interpret other points on the graph of \( f \)?
2. What is the behavior of \( f(x) \) around its critical points?
3. How can you find the maximum or minimum values of \( f(x) \) from the graph?
4. What is the domain and range of this function \( f(x) \)?
5. How can you determine if \( f(x) \) is increasing or decreasing from the graph?

**Tip**: When analyzing function values from a graph, always carefully check both the x-coordinate and y-coordinate to ensure accuracy.

Use the graph of the function f shown to find f(-14) and f(-4).

This problem involves interpreting a graph of a function to find the values of f(-14) and f(-4). Learn how to identify points on a graph and determine function values with a detailed solution. Suitable for students in Grades 9-12.

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