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ảnh đính kèm là Đề Toán thi tốt nghiệp THPT năm 2024. Hãy giải câu 1

To solve question 1, we need to determine the vertical asymptote of the function \( f(x) \) based on the given information.

The problem provides a sign chart and behavior of \( f'(x) \) and \( f(x) \) around specific values of \( x \).

### Given Information:
- \( f(x) \) has a vertical asymptote at \( x = 1 \) (since \( f(x) \to \infty \) or \( f(x) \to -\infty \) as \( x \) approaches 1).
- \( f'(x) \) changes signs around \( x = 1 \), indicating a vertical asymptote.

From the sign chart:
- \( f(x) \to -\infty \) as \( x \to 1^- \)
- \( f(x) \to \infty \) as \( x \to 1^+ \)

### Conclusion:
The vertical asymptote of \( f(x) \) is at \( x = 1 \).

Thus, the correct answer is:
\[ \boxed{\text{C. } x = 1} \]

Would you like details or have any questions on this? Here are some other questions you might want to ask:

1. Can you explain how to find the domain of a function?
2. How do you determine the derivative of a composite function?
3. What are the properties of a vertical asymptote in a function's graph?
4. How can we interpret the integral of a function over an interval?
5. What are the methods to solve polynomial equations?

**Tip:** When analyzing functions, always check for vertical asymptotes by looking at points where the denominator of the function approaches zero.

Learn how to solve question 1 of the 2024 High School Graduation Exam in Vietnam. This problem involves determining the vertical asymptote of a function based on given information about its behavior and derivatives. Suitable for high school students preparing for mathematics examinations.

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