https://file.aiquickdraw.com/mathbot/file/1726712767545wkaayzej.jpg

The graph shows a parabola, which is a representation of a quadratic function. To determine if the function is one-to-one, we apply the **Horizontal Line Test**. If any horizontal line drawn across the graph intersects the curve more than once, the function is not one-to-one.

In this case, a horizontal line would intersect the parabola at two points in most places, indicating that the function is **not one-to-one**.

Thus, the correct answer is:
- **No**

Would you like more details or have any questions?

Here are 5 related questions for further exploration:
1. What is the definition of a one-to-one function?
2. How does the vertical line test differ from the horizontal line test?
3. Can a quadratic function ever be one-to-one?
4. How do transformations affect whether a function is one-to-one?
5. How can we restrict the domain of a function to make it one-to-one?

**Tip:** A function that passes the **horizontal line test** is one-to-one because each output (y-value) corresponds to exactly one input (x-value).

Does the following graph represent a one-to-one function?

Learn how to apply the Horizontal Line Test to determine if a quadratic function, represented by a parabola, is one-to-one. Understand key concepts of one-to-one functions, suitable for students in Grades 8-10.

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