10. Consider the function f (x) = x³ + 6x2 -36x + 4. Then I. f decreases on (-6, 2) and increases on (-0o, -6) U (2, 0) II. f has a local minimum at x = 2 III. f has local maximum at x = -6 A. I only B. I and II C. I and III D. I, II, and IlI

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
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10. Consider the function f (x) = x³ + 6x² – 36x +4. Then
I. f decreases on (-6, 2) and increases on (-o, -6) U (2, 0)
II. f has a local minimum at x = 2
III. f has local maximum at x = -6
A. I only
B. I and II
C. I and III
D. I, II, and III
11. Your new puppy needs a rectangular dog run outside. You have 50 feet of fencing and p
fence the other three sides. What is the size
Transcribed Image Text:10. Consider the function f (x) = x³ + 6x² – 36x +4. Then I. f decreases on (-6, 2) and increases on (-o, -6) U (2, 0) II. f has a local minimum at x = 2 III. f has local maximum at x = -6 A. I only B. I and II C. I and III D. I, II, and III 11. Your new puppy needs a rectangular dog run outside. You have 50 feet of fencing and p fence the other three sides. What is the size
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