https://file.aiquickdraw.com/mathbot/file/1728865767105gm12z03c.jpg

From the graph you uploaded, the vertical asymptotes are the lines where the function tends towards infinity (positive or negative) as the x-values approach specific points.

In this graph, I observe two vertical asymptotes:

1. One at \(x = -3\), where the function goes to positive infinity as you approach from the left and negative infinity from the right.
2. Another at \(x = 2\), where the function dips sharply towards negative infinity on one side and positive infinity on the other.

Therefore, the vertical asymptotes are:
\[
x = -3 \quad \text{and} \quad x = 2
\]

Do you want further explanation or have any questions?

Here are some related questions to think about:
1. What causes vertical asymptotes in rational functions?
2. Can there be more than two vertical asymptotes in a function?
3. How does a graph behave near vertical asymptotes?
4. Are there other types of asymptotes besides vertical ones?
5. How can you determine vertical asymptotes algebraically from a function?

**Tip:** Vertical asymptotes typically occur where the denominator of a rational function equals zero, but the numerator doesn't.

Identify the vertical asymptotes from the graph provided.

Explore how to identify vertical asymptotes from a graph of a rational function. This example shows two vertical asymptotes at x = -3 and x = 2, demonstrating key principles of graph behavior near these points. Suitable for students in Grades 9-12.

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