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From the graph of \( f(x) = x^3 + x \), we can apply the **horizontal line test**. 

A function is **one-to-one** if every horizontal line crosses the graph at most once. In this case, for any horizontal line, the graph crosses at most once. Therefore, the function \( f(x) = x^3 + x \) **is one-to-one**.

Thus, the answer to the question is: **"y"**.

Do you have any questions or need further clarification?

### Related Questions:
1. What is the mathematical definition of a one-to-one function?
2. How does the derivative of a function help in determining if it is one-to-one?
3. Can every cubic function be one-to-one?
4. How would the graph of \( f(x) = x^3 - x \) differ from \( f(x) = x^3 + x \)?
5. How can we algebraically determine if a function is one-to-one?

### Tip:
When graphing, remember that the horizontal line test is a quick visual method to check if a function is one-to-one.

Use a graph to determine whether f(x) = x^3 + x is one-to-one. If it is one-to-one, enter 'y'. If not, enter 'n'.

Use the graph of the function f(x) = x^3 + x to determine if it is one-to-one by applying the horizontal line test. This problem involves graphing techniques and the concept of one-to-one functions, suitable for high school students.

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