https://file.aiquickdraw.com/mathbot/file/17269210241644q6kwbz4.jpg

The graph in the image depicts a curve that looks like part of a rational or logarithmic function, which is decreasing and passes the vertical line test. To determine whether this graph represents a one-to-one function, we apply the **horizontal line test**: if any horizontal line intersects the graph at most once, the function is one-to-one.

From the graph, it appears that no horizontal line intersects the curve more than once, so the function **is** one-to-one.

Therefore, the correct answer to the question is **True**.

Would you like further details, or do you have any questions?

Here are five related questions for you:
1. How can you tell if a function is one-to-one using its algebraic form?
2. What is the difference between the vertical and horizontal line tests?
3. Can a one-to-one function have any repeated values for different inputs?
4. How does the inverse of a one-to-one function behave?
5. What types of functions (e.g., linear, quadratic, etc.) are typically not one-to-one?

**Tip**: Always remember, a function is one-to-one if no two different inputs have the same output!

The given graph below is a one-to-one function.

Learn how to identify whether a graph represents a one-to-one function by using the horizontal line test. This example demonstrates a graph that passes the test and is suitable for students in Grades 9-12.

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