
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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![**Question 10**
The graph above is of \( f' \), the **derivative** of a function \( f \).
- **Function Domain**: The function \( f \) is defined on the domain \([-5, 5]\).
### Graph Description
- **Axes:**
- The horizontal axis (x-axis) ranges from -5 to 5.
- The vertical axis (y-axis) ranges from -5 to 5.
- **Curve Characteristics:**
- The curve starts below the x-axis and rises to a local maximum near \( x = -4 \).
- It then dips again to the x-axis at approximately \( x = -1 \).
- The curve rises and crosses the x-axis near \( x = 1 \), reaching another local maximum around \( x = 3 \).
- Finally, the curve decreases slightly past \( x = 4 \).
This graph represents changes in the slope of the original function \( f \) within the specified domain.](https://content.bartleby.com/qna-images/question/cfa7f9ff-cd4d-49e1-ae0a-c78e42269751/dde8916e-47a0-43c4-8c8f-5cb9980a337e/ympvmu3_thumbnail.jpeg)
Transcribed Image Text:**Question 10**
The graph above is of \( f' \), the **derivative** of a function \( f \).
- **Function Domain**: The function \( f \) is defined on the domain \([-5, 5]\).
### Graph Description
- **Axes:**
- The horizontal axis (x-axis) ranges from -5 to 5.
- The vertical axis (y-axis) ranges from -5 to 5.
- **Curve Characteristics:**
- The curve starts below the x-axis and rises to a local maximum near \( x = -4 \).
- It then dips again to the x-axis at approximately \( x = -1 \).
- The curve rises and crosses the x-axis near \( x = 1 \), reaching another local maximum around \( x = 3 \).
- Finally, the curve decreases slightly past \( x = 4 \).
This graph represents changes in the slope of the original function \( f \) within the specified domain.
![**Enter open intervals.**
A. On what interval(s) is the function \( f \) **increasing**?
[ ]
B. On what interval(s) is the function \( f \) **decreasing**?
[ ]
C. At what input(s) is the function \( f \) at a **relative maximum** (separated by space or comma)?
[ ]
D. At what input(s) is the function \( f \) at a **relative minimum** (separated by space or comma)?
[ ]](https://content.bartleby.com/qna-images/question/cfa7f9ff-cd4d-49e1-ae0a-c78e42269751/dde8916e-47a0-43c4-8c8f-5cb9980a337e/uxsezij_thumbnail.jpeg)
Transcribed Image Text:**Enter open intervals.**
A. On what interval(s) is the function \( f \) **increasing**?
[ ]
B. On what interval(s) is the function \( f \) **decreasing**?
[ ]
C. At what input(s) is the function \( f \) at a **relative maximum** (separated by space or comma)?
[ ]
D. At what input(s) is the function \( f \) at a **relative minimum** (separated by space or comma)?
[ ]
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