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10. Consider the function f(x) = x³ + 6x² - 36x + 4. Then I. f decreases on (-6,2) and increases on (-∞, -6) U (2,00) II. f has a local minimum at x = 2 III. f has local maximum at x = -6 A. I only C. I and III B. I and II D. I, II, and III

10. Consider the function f(x) = x³ + 6x² - 36x + 4. Then I. f decreases on (-6,2) and increases on (-∞, -6) U (2,00) II. f has a local minimum at x = 2 III. f has local maximum at x = -6 A. I only C. I and III B. I and II D. I, II, and III

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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10. Consider the function f(x) = x³ + 6x² - 36x + 4. Then I. f decreases on (-6, 2) and increases on (-∞, -6) U (2,00) II. f has a local minimum at x = 2 III. f has local maximum at x = −6 A. I only C. I and III B. I and II D. I, II, and III
Transcribed Image Text:10. Consider the function f(x) = x³ + 6x² - 36x + 4. Then I. f decreases on (-6, 2) and increases on (-∞, -6) U (2,00) II. f has a local minimum at x = 2 III. f has local maximum at x = −6 A. I only C. I and III B. I and II D. I, II, and III
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