https://file.aiquickdraw.com/mathbot/file/1727413612694968v49ka.jpg

The image provided displays a graph of the function \( f(x) \) and a series of questions regarding the function's values at specific points. Let's break down and confirm the steps:

### Part (a): Find \( f(-14) \) and \( f(-4) \)

- From the graph:
  - \( f(-14) = -4 \)
  - \( f(-4) = 4 \)

### Part (b): Find \( f(12) \) and \( f(0) \)

- From the graph:
  - \( f(12) = 4 \)
  - \( f(0) = -2 \)

### Part (c): Is \( f(4) \) positive or negative?

- Looking at the graph at \( x = 4 \), we see that the function crosses the x-axis and is located below it. Therefore, \( f(4) \) is negative.

The correct response to (c) would be:
- \( f(4) \) is **Negative**.

Would you like more details on these calculations or have any additional questions?

### Follow-up questions:
1. What is the behavior of \( f(x) \) as \( x \) approaches infinity?
2. What are the x-intercepts of the function?
3. How many turning points does the function have?
4. At which points does the function achieve a local maximum or minimum?
5. What is the symmetry of the function, if any?

### Tip:
When interpreting graphs, always check for clear intersections with the x-axis, y-axis, and turning points for better understanding of function behavior.

Use the graph of the function f to find values of f(-14), f(-4), f(12), f(0), and determine if f(4) is positive or negative.

Learn how to evaluate a function using its graph. This example involves determining f(x) values from a given graph and answering whether f(4) is positive or negative. Suitable for students in Grades 9-11.

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