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!