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).