Suppose f(x) is a function with the following properties: • ƒ"(1) = ƒ"(2) = ƒ”(4) = 0, f"(x) > 0 for all x on (-∞, 1) U (4, ∞), and f"(x) < 0 for all x on (1,2) U (2,4). ● ● Which of the following is always TRUE? Of has exactly two inflection points which occur at x = 1 and x = 2. Of does not have any inflection points. f has exactly two inflection points which occur at x = : 1 and x = : 4. Of has exactly three inflection points which occur at x = 1, x = 2, and x = 4. Of has exactly two inflection points which occur at x = = 2 and x = : 4.
Suppose f(x) is a function with the following properties: • ƒ"(1) = ƒ"(2) = ƒ”(4) = 0, f"(x) > 0 for all x on (-∞, 1) U (4, ∞), and f"(x) < 0 for all x on (1,2) U (2,4). ● ● Which of the following is always TRUE? Of has exactly two inflection points which occur at x = 1 and x = 2. Of does not have any inflection points. f has exactly two inflection points which occur at x = : 1 and x = : 4. Of has exactly three inflection points which occur at x = 1, x = 2, and x = 4. Of has exactly two inflection points which occur at x = = 2 and x = : 4.
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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Question

Transcribed Image Text:Suppose f(x) is a function with the following properties:
· ƒ"(1) = ƒ"(2) = ƒ"(4) = 0,
f"(x) > 0 for all x on (-∞, 1) U (4, ∞), and
• f"(x) < 0 for all x on (1, 2) U (2, 4).
Which of the following is always TRUE?
f has exactly two inflection points which occur at x = 1 and x = 2.
f does not have any inflection points.
f has exactly two inflection points which occur at x = 1 and x =
= 4.
f has exactly three inflection points which occur at x = 1, x =
2, and x = 4.
f has exactly two inflection points which occur at x = 2 and x = 4.
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