Question ++ -10 -8 Select the correct answer below: O (-00,00) O (3,6) U (6,00) O (3,6) O (-∞0, 3) U (6,00) -4 Y >< 10- 8- 6+ 4- 4- -6- The graph of f(x) is shown in the figure. Where is f'(x) > 0? -8- 12 $ 10

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Question**

The graph of \( f(x) \) is shown in the figure. Where is \( f'(x) > 0 \)?

**Graph Explanation:**
- The graph is plotted on a coordinate grid with both x and y axes ranging from -10 to 10.
- The graph of \( f(x) \) is a blue curve that exhibits several changes in direction, indicating relative maxima and minima.
- The graph shows areas where the slope is positive, meaning \( f'(x) > 0 \).

**Options:**

Select the correct answer below:

- \( (-\infty, \infty) \)
- \( (3, 6) \cup (6, \infty) \)
- \( (3, 6) \)
- \( (-\infty, 3) \cup (6, \infty) \)

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Transcribed Image Text:**Question** The graph of \( f(x) \) is shown in the figure. Where is \( f'(x) > 0 \)? **Graph Explanation:** - The graph is plotted on a coordinate grid with both x and y axes ranging from -10 to 10. - The graph of \( f(x) \) is a blue curve that exhibits several changes in direction, indicating relative maxima and minima. - The graph shows areas where the slope is positive, meaning \( f'(x) > 0 \). **Options:** Select the correct answer below: - \( (-\infty, \infty) \) - \( (3, 6) \cup (6, \infty) \) - \( (3, 6) \) - \( (-\infty, 3) \cup (6, \infty) \) [Feedback] [More Instruction] [Submit]
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