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raph of f'(x) is given below. Use this graph to determine the intervals where f(x) is increasing or decreasing. (click on graph to enlarge) nterval(s) where f(x) is increasing: (-∞,-1) |help (intervals) F"(x)

raph of f'(x) is given below. Use this graph to determine the intervals where f(x) is increasing or decreasing. (click on graph to enlarge) nterval(s) where f(x) is increasing: (-∞,-1) |help (intervals) F"(x)

Calculus: Early Transcendentals
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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The graph of \( f'(x) \) is given below. Use this graph to determine the intervals where \( f(x) \) is increasing or decreasing. (click on graph to enlarge) **Graph Explanation:** - The graph depicts the derivative \( f'(x) \) as a blue curve. The x-axis ranges from about -8 to 8, and the y-axis ranges from about -80 to 40. - Key points where the graph intersects the x-axis (indicating critical points) are around \( x = -1 \), \( x = 0 \), and \( x = 2 \). - In regions where \( f'(x) > 0 \), \( f(x) \) is increasing, and where \( f'(x) < 0 \), \( f(x) \) is decreasing. **Answers:** a. Interval(s) where \( f(x) \) is increasing: \((-\infty, -1)\) b. Interval(s) where \( f(x) \) is decreasing: \((-1, 0) \cup (0, 2) \cup (2, \infty)\)
Transcribed Image Text:The graph of \( f'(x) \) is given below. Use this graph to determine the intervals where \( f(x) \) is increasing or decreasing. (click on graph to enlarge) **Graph Explanation:** - The graph depicts the derivative \( f'(x) \) as a blue curve. The x-axis ranges from about -8 to 8, and the y-axis ranges from about -80 to 40. - Key points where the graph intersects the x-axis (indicating critical points) are around \( x = -1 \), \( x = 0 \), and \( x = 2 \). - In regions where \( f'(x) > 0 \), \( f(x) \) is increasing, and where \( f'(x) < 0 \), \( f(x) \) is decreasing. **Answers:** a. Interval(s) where \( f(x) \) is increasing: \((-\infty, -1)\) b. Interval(s) where \( f(x) \) is decreasing: \((-1, 0) \cup (0, 2) \cup (2, \infty)\)
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