Describe the graph of f at the given point relative to the existence of a local maximum or minimum. Assume that f(x) is continuous on (-∞, ∞). (2,f(2)) if f'(2) = 0 and f''(2) >0 What is the best description of the graph of f at the point (2,f(2))? O A. Local minimum O B. Unable to determine from the given information O C. Local maximum O D. Neither

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
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Describe the graph of f at the given point relative to the existence of a local maximum or minimum. Assume that f(x) is continuous on (-∞, ∞0).
(2,f(2)) if f'(2) = 0 and f''(2) >0
What is the best description of the graph of f at the point (2,f(2))?
A. Local minimum
B. Unable to determine from the given information
C. Local maximum
D. Neither
Transcribed Image Text:Describe the graph of f at the given point relative to the existence of a local maximum or minimum. Assume that f(x) is continuous on (-∞, ∞0). (2,f(2)) if f'(2) = 0 and f''(2) >0 What is the best description of the graph of f at the point (2,f(2))? A. Local minimum B. Unable to determine from the given information C. Local maximum D. Neither
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