The image you've uploaded shows a graph of a rational function with behavior indicating a vertical asymptote at $x = 3$. As the function approaches $x = 3$ from both sides, the graph heads towards infinity, which is characteristic of a vertical asymptote. There is no indication of the function value approaching a specific number, which would suggest the presence of a hole. Therefore, the correct statement is:

"There is a vertical asymptote at $x = 3$."

Do you need further details or have any other questions about this topic? Here are some related questions you might consider:

1. What happens to the graph of a rational function at a vertical asymptote?
2. How can you distinguish between a hole and a vertical asymptote on a graph?
3. What causes a rational function to have a vertical asymptote?
4. Could there be any horizontal asymptotes in this graph? How can you tell?
5. How does the degree of the numerator and denominator affect the graph of a rational function?

Tip: To explore the behavior of a rational function around its asymptotes or holes, consider factoring its numerator and denominator to identify common factors and their impact on the function's graph.