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The PDF you uploaded contains questions on the second derivative from Section 1.6 of a course, focusing on concavity and the behavior of a function through its derivatives. Below are the questions extracted from the document:

### Section 1.6 The Second Derivative: Questions
1. **Consider the function \( f(x) \) graphed below: Consider points A, B, and C on the graph.**
   - (a) At which points (A, B, or C) is \( f(x) \) positive?
   - (b) At which points (A, B, or C) is \( f'(x) \) positive?
   - (c) At which points (A, B, or C) is \( f''(x) \) positive?

2. **For the following sentence, identify a function whose second derivative is being discussed. What is being said about the concavity of that function?**
   - _As the immunization program took hold, the rate of new infections decreased dramatically._

3. **How comfortable do you feel on answering questions 1-3 in class—“very comfortable”, “I’ll give it a try”, or “not at all comfortable”?**
   - For Question 1:
   - For Question 2:

### Would you like help solving any of these specific questions or an explanation of concepts like concavity, or how to interpret first and second derivatives?

Here are some follow-up questions to help you expand your understanding:

1. What does a positive or negative second derivative tell you about the graph of a function?
2. Can you explain the relationship between the first derivative and the slope of a function at a point?
3. How does concavity influence the shape of a graph between critical points?
4. What is the significance of inflection points with respect to the second derivative?
5. How does a function's second derivative relate to real-world applications like the immunization example provided?

**Tip:** Remember, the second derivative informs you about the concavity of a function: whether it is "concave up" (like a cup) or "concave down" (like a frown).

The PDF you uploaded contains questions on the second derivative from Section 1.6 of a course, focusing on concavity and the behavior of a function through its derivatives.

Explore questions from Section 1.6 on the second derivative, concavity, and the behavior of functions. This guide covers topics such as identifying concave up or down using the second derivative, real-world applications, and graph interpretations. Ideal for university students studying calculus.

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