Calculus: Early Transcendentals
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.
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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)?  
[ ]
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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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