Say that we also know f'(x) =0 at x 6. Which of the following must be true about the function f(x)? (Hint: plug in x= 6 for f"(x). Is your answer positive or negative?) (a) f(x) has a local maximum at x 0. (b) f(x) has a local minimum at x 0. (c) f(x) has a local minimum at x 6. (d) f(x) has a local maximum at x 6. (e) None of the above

College Algebra (MindTap Course List)
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Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
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Let f(x) be defined everywhere such that f"(x)=3x2-12x

 

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Say that we also know f'(x) = 0 at x = 6. Which of the following must be true about the function f (x)? (Hint: plug in
x = 6 for f"(x). Is your answer positive or negative?)
(a) f(x) has a local maximum at x = 0.
(b) f(x) has a local minimum at x = 0.
(c) f(x) has a local minimum at x = 6.
%3D
(d) f(x) has a local maximum at x = 6.
(e) None of the above
Transcribed Image Text:Say that we also know f'(x) = 0 at x = 6. Which of the following must be true about the function f (x)? (Hint: plug in x = 6 for f"(x). Is your answer positive or negative?) (a) f(x) has a local maximum at x = 0. (b) f(x) has a local minimum at x = 0. (c) f(x) has a local minimum at x = 6. %3D (d) f(x) has a local maximum at x = 6. (e) None of the above
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