etch the graph of a function that satisfies all of the given conditions. • f'(2) = f'(-2) = 0 • f(x) < 0 if |피 < 2 • f'(x) > 0 if 2 < |æ| < 3 • f'(x) = -1 if |æ| > 3 • f"(x) < 0 if -2 < x < 0 • inflection point (0, –2)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 54E
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Sketch the graph of a function that satisfies all of the given conditions

Sketch the graph of a function that satisfics all of the given conditions.
f'(2) = f'(-2) = 0
• f'(x) < 0 if |x| < 2
f'(x) > 0 if 2 < |æ| < 3
f'(x) = -1 if |a| > 3
• f"(x) < 0 if -2 < x < 0
• inflection point (0,–2)
Transcribed Image Text:Sketch the graph of a function that satisfics all of the given conditions. f'(2) = f'(-2) = 0 • f'(x) < 0 if |x| < 2 f'(x) > 0 if 2 < |æ| < 3 f'(x) = -1 if |a| > 3 • f"(x) < 0 if -2 < x < 0 • inflection point (0,–2)
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