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The graph of f(x) is shown. Find the r-value(s) where f' (x) = 0. 50 40 30 20 10 -8 -6 -4 -2 a) Ox = {-6,0, 1} b) Oz = {-6,1} c) O x = 0 d) Or = {-6, 6} e) Oz = -6

The graph of f(x) is shown. Find the r-value(s) where f' (x) = 0. 50 40 30 20 10 -8 -6 -4 -2 a) Ox = {-6,0, 1} b) Oz = {-6,1} c) O x = 0 d) Or = {-6, 6} e) Oz = -6

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 shown. Find the \( x \)-value(s) where \( f'(x) = 0 \). **Graph Description:** The graph is a smooth curve that starts increasing, reaches a peak, then decreases to a trough, and starts increasing again. It resembles a sinusoidal wave traversing along the x-axis with noticeable peaks and valleys. - The peak occurs approximately at \( x = -6 \). - The trough occurs approximately at \( x = 0 \). These points are where the slope of the tangent to the curve is zero, indicating critical points. **Answer Choices:** a) \( x = \{-6, 0, 1\} \) b) \( x = \{-6, 1\} \) c) \( x = 0 \) d) \( x = \{-6, 6\} \) e) \( x = -6 \)
Transcribed Image Text:The graph of \( f(x) \) is shown. Find the \( x \)-value(s) where \( f'(x) = 0 \). **Graph Description:** The graph is a smooth curve that starts increasing, reaches a peak, then decreases to a trough, and starts increasing again. It resembles a sinusoidal wave traversing along the x-axis with noticeable peaks and valleys. - The peak occurs approximately at \( x = -6 \). - The trough occurs approximately at \( x = 0 \). These points are where the slope of the tangent to the curve is zero, indicating critical points. **Answer Choices:** a) \( x = \{-6, 0, 1\} \) b) \( x = \{-6, 1\} \) c) \( x = 0 \) d) \( x = \{-6, 6\} \) e) \( x = -6 \)
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