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The question asks if the given graph represents a one-to-one function.

To determine if a graph is a one-to-one function, we apply the **Horizontal Line Test**. If any horizontal line intersects the graph more than once, the function is **not** one-to-one. A one-to-one function has the property that for every \( y \)-value, there is exactly one corresponding \( x \)-value.

From the graph:
- In the section between \( x = -2 \) and \( x = 4 \), horizontal lines intersect the curve at multiple points. 
- Therefore, this graph **fails the horizontal line test**, meaning it is **not** a one-to-one function.

The correct answer to the question is **False**.

Would you like further details or explanations? Here are some related questions to deepen your understanding:

1. What is the difference between a one-to-one function and a regular function?
2. How does the vertical line test differ from the horizontal line test?
3. Can a function fail the horizontal line test but still be a valid function?
4. What does it mean for a function to be "onto" (surjective)?
5. How can we algebraically check if a function is one-to-one?

**Tip:** A one-to-one function has a unique inverse since each \( x \)-value maps to a unique \( y \)-value and vice versa!

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

In this problem, you learn how to use the horizontal line test to determine whether a function is one-to-one. The graph fails the horizontal line test, meaning it is not a one-to-one function. Suitable for Grades 9-12.

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