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!