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From the images provided, I can see that you are working on identifying the vertical and horizontal asymptotes of a function based on its graph.

### Vertical Asymptotes:
Vertical asymptotes occur where the function approaches infinity as \( x \) approaches a certain value. In the graph, this is visible at sharp upward or downward spikes. Observing the graph:
- The function seems to approach infinity near \( x = 1 \), suggesting a **vertical asymptote at \( x = 1 \)**.

### Horizontal Asymptotes:
Horizontal asymptotes represent the value the function approaches as \( x \) goes to infinity or negative infinity. Looking at the graph:
- As \( x \) goes to positive infinity, the function appears to flatten out near \( y = 0 \), indicating a **horizontal asymptote at \( y = 0 \)**.

### Summary of Asymptotes:
- **Vertical asymptote**: \( x = 1 \)
- **Horizontal asymptote**: \( y = 0 \)

Would you like more details or further clarifications?

Here are 5 related questions to expand your understanding:
1. How do you identify vertical asymptotes for rational functions from their equations?
2. Can a function have more than one horizontal asymptote?
3. What is the difference between horizontal and slant asymptotes?
4. How do you determine the asymptotes of a logarithmic or exponential function?
5. What happens at an asymptote when a function "crosses" it?

### Tip:
For rational functions, vertical asymptotes occur where the denominator equals zero, and horizontal asymptotes depend on the degree of the numerator relative to the denominator.

Find the vertical and horizontal asymptotes based on the graph of the function.

This problem involves determining the vertical and horizontal asymptotes of a function based on its graph. Key mathematical concepts include limits and asymptotes. Suitable for students in Grades 11-12.

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