To determine if the graph represents a one-to-one function, we need to check if it passes the horizontal line test. A function is considered one-to-one if and only if every horizontal line intersects the graph at most once.

Looking at the given graph:

1. The graph appears to be a sideways parabola.
2. A horizontal line would intersect this curve in more than one place.

Since a horizontal line intersects the graph at more than one point, this graph does not represent a one-to-one function.

So, the correct answer is:

• No.

Would you like more details or have any questions?

Related Questions:

1. What is the horizontal line test, and how is it used to determine if a function is one-to-one?
2. Can you provide examples of one-to-one functions and explain why they meet the criteria?
3. How do we check if a function is onto (surjective)?
4. What is the difference between a one-to-one function and an onto function?
5. How do inverse functions relate to one-to-one functions?

Tip: Remember that for a function to be one-to-one, each output must be the result of exactly one input.