https://file.aiquickdraw.com/mathbot/file/1726437720299tnu6wuih.jpg

In the image, the problem asks you to find the **x-intercepts** of the graph \( y = f(x) \), where the axes are marked in one-unit intervals. 

The **x-intercepts** are the points where the graph crosses the x-axis, meaning the value of \( y \) is zero at these points. From the graph, we can observe the x-values where \( y = 0 \).

Looking closely at the graph:

- The curve touches the x-axis at \( x = -3 \),
- The curve touches the x-axis at \( x = 5 \),
- The curve touches the x-axis at \( x = 10 \),
- The curve touches the x-axis at \( x = 12 \).

Thus, the **x-intercepts** are \( x = -3, 5, 10, 12 \).

The provided solution in the image confirms these intercepts. If you'd like further clarification or more details, let me know!

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Do you have any questions or need more details?

Here are some related questions to think about:

1. What is the general definition of an x-intercept?
2. How do you determine the x-intercepts of a polynomial function algebraically?
3. Could there be more than one x-intercept in a real-world application?
4. How do the x-intercepts help in understanding the behavior of the graph of a function?
5. How would you find the y-intercept of the graph?

**Tip:** When working with graphs, always check both x- and y-intercepts to gain insights into the function's behavior.

Refer to the graph of y = f(x) shown to the right. The axes are marked off in one-unit intervals. Find the x-intercepts of f.

This problem asks students to identify the x-intercepts of a function from its graph. It involves interpreting graphical data and applying the concept of x-intercepts where y = 0. Suitable for students in Grades 8-10.

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