https://file.aiquickdraw.com/mathbot/file/1726000229850r329x31i.jpg

The image you uploaded appears to contain four graphs. The task is likely to identify which graph has a vertical asymptote at \( x = 0 \), according to the statement provided.

Let’s review the four graphs in the image:

1. **First graph** (leftmost): It shows a curve that seems to approach a vertical line at \( x = 0 \). This suggests that there might be a vertical asymptote at \( x = 0 \).

2. **Second graph**: The curve in this graph also appears to have a vertical asymptote at \( x = 0 \), as the function behaves as if it diverges near \( x = 0 \).

3. **Third graph**: The curve doesn’t seem to have a vertical asymptote at \( x = 0 \), as the graph continues smoothly near \( x = 0 \).

4. **Fourth graph**: Similar to the third, the curve behaves smoothly near \( x = 0 \) without any indication of a vertical asymptote.

### Conclusion:
Both the **first and second graphs** exhibit behavior consistent with a vertical asymptote at \( x = 0 \), meaning either of these could satisfy the condition.

Would you like a deeper explanation of vertical asymptotes or more help identifying the graph?

Here are five related questions:
1. What are the characteristics of a vertical asymptote?
2. How do you algebraically find vertical asymptotes for rational functions?
3. What is the difference between horizontal and vertical asymptotes?
4. How do asymptotes affect the behavior of functions near specific points?
5. Can a graph have more than one vertical asymptote?

**Tip**: When dealing with rational functions, vertical asymptotes occur where the denominator equals zero, provided the numerator is non-zero at those points.

Select all graphs for which the statement below is TRUE. 'There is a vertical asymptote at x = 0.'

Learn how to identify vertical asymptotes in graphs, focusing on the condition when a vertical asymptote occurs at x = 0. This guide explains key concepts related to graph behavior near vertical asymptotes, suitable for high school students (Grades 9-12).

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