1. Given the known information about the derivative of a function, and the function exists everywhere. Answer the following questions. a) Identify the critical points of the function. b) Create a first derivative sign chart. c) Determine the intervals on which the function increases and decreases. d) Classify the critical points as relative maximums, relative minimums or neither. f (1) = 0 f'(3) = 0 f'(8) = 0 P(x)<0 (-00, 1), (3,8) on P(x)>0 on (1,3), (8, 0)

College Algebra (MindTap Course List)
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ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
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1. Given the known information about the derivative of a function, and the function exists
everywhere. Answer the following questions.
a) Identify the critical points of the function.
b) Create a first derivative sign chart.
c) Determine the intervals on which the function increases and decreases.
d) Classify the critical points as relative maximums, relative minimums or neither.
f (1) = 0
f'(3) = 0
f'(8) = 0
P(x)<0
(-00, 1),
(3,8)
on
P(x)>0
on
(1,3), (8, 0)
Transcribed Image Text:1. Given the known information about the derivative of a function, and the function exists everywhere. Answer the following questions. a) Identify the critical points of the function. b) Create a first derivative sign chart. c) Determine the intervals on which the function increases and decreases. d) Classify the critical points as relative maximums, relative minimums or neither. f (1) = 0 f'(3) = 0 f'(8) = 0 P(x)<0 (-00, 1), (3,8) on P(x)>0 on (1,3), (8, 0)
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