4. The graph of f'(x), the derivative of a is shown at right. Which of the following statements is/are true? A. The graph off has a point of inflection at x = a B. f is not continuous at x = a C. f has a relative maximum at x = a D. f is continuous but not differentiable at x = a a f'(x)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 2E
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4. The graph of f'(x), the derivative of a function f(x),
is shown at right. Which of the following statements
is/are true?
A. The graph of f has a point of inflection at x = a
B. f is not continuous at x = a
C. f has a relative maximum at x = a
D. f is continuous but not differentiable at x = a
a
f'(x)
x
Transcribed Image Text:4. The graph of f'(x), the derivative of a function f(x), is shown at right. Which of the following statements is/are true? A. The graph of f has a point of inflection at x = a B. f is not continuous at x = a C. f has a relative maximum at x = a D. f is continuous but not differentiable at x = a a f'(x) x
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