The graph in the image shows a rational function with a vertical asymptote at $x = 3$ and a horizontal asymptote at $y = 0$. Based on the shape of the graph, it appears that the function approaches negative infinity as $x$ approaches 3 from the left, and approaches positive infinity as $x$ approaches 3 from the right. The function does not cross the horizontal asymptote $y = 0$, meaning the range does not include 0.

Range of the function:

The function seems to take on all real values except $y = 0$. Therefore, the range is: $(-\infty, 0) \cup (0, \infty)$

Would you like further details on the reasoning, or have any questions?

Here are 5 related questions to expand on this:

1. What is the domain of this function?
2. How do vertical and horizontal asymptotes affect the range and domain of a function?
3. What is a rational function and how can its graph be analyzed?
4. How would the function behave if the asymptote were at a different value, such as $y = 2$?
5. How do you find the range of more complex functions?

Tip: When determining the range of a rational function, always pay attention to horizontal asymptotes and any restrictions where the function is undefined.