https://file.aiquickdraw.com/mathbot/file/1727179152268ape600xu.jpg

The graph represents a polynomial function, and the zeros (also called x-intercepts) are the points where the graph crosses or touches the x-axis.

Looking at the graph, we can observe the points where the graph intersects the x-axis. These are the zeros of the function:

- The graph crosses the x-axis at \(x = -4\),
- It touches the x-axis at \(x = -2\),
- And it crosses the x-axis again at \(x = 1\).

Thus, the zeros of the function are \(x = -4\), \(x = -2\), and \(x = 1\).

The correct answer is **Option D: \(x = -4, -2, 1\)**.

Would you like more details or have any questions?

Here are some related questions:
1. What is the difference between a zero and a root of a function?
2. How do multiplicities of zeros affect the graph of a function?
3. What is the degree of the polynomial based on the graph?
4. Can you determine the leading coefficient sign based on the graph?
5. How would you factor a polynomial if the zeros are known?

**Tip**: When a graph touches but does not cross the x-axis at a zero, the zero has even multiplicity!

Identify the zeros of the graphed function.

Learn how to identify the zeros of a polynomial function by analyzing its graph. This problem covers key concepts like x-intercepts and the zeros of the function. Suitable for high school students.

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