Directions: Use the function f(x) below to answer the following questions. Part 1: Intervals of Concavity Find the open interval(s) on which f is concave up/ concave down. Part 2: Inflection Points Find the x-values(s) where f has an inflection point. f(x) = 2x - 4 sin(x) defined for (0, 2) Concave Up: Concave Down: x =

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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Directions: Use the function f(x) below to answer the following questions.
Part 1: Intervals of Concavity
Find the open interval(s) on which f is concave up / concave down.
Part 2: Inflection Points
Find the x-values(s) where f has an inflection point.
f(x) = 2x - 4 sin(x) defined for (0, 2π)
Concave Up:
Concave Down:
x =
Answer Formats
• If necessary, use -INF and INF to denote -∞ and ∞o.
• If the function does not have any, enter NONE.
• If the function has more than one, type your answer as a comma separated list. For example: x1, x2 or (a₁, b₁), (a2, b₂).
Transcribed Image Text:Directions: Use the function f(x) below to answer the following questions. Part 1: Intervals of Concavity Find the open interval(s) on which f is concave up / concave down. Part 2: Inflection Points Find the x-values(s) where f has an inflection point. f(x) = 2x - 4 sin(x) defined for (0, 2π) Concave Up: Concave Down: x = Answer Formats • If necessary, use -INF and INF to denote -∞ and ∞o. • If the function does not have any, enter NONE. • If the function has more than one, type your answer as a comma separated list. For example: x1, x2 or (a₁, b₁), (a2, b₂).
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