Find all the critical numbers of f(x) = 2x4-4x³+3x²+2, then determine the local minimum and maximum points by using a graph. O Critical numbers: x = 0 and x = 1 (0,2) is a local minimum. Critical numbers: x= -1, x=0, x=1 (0,2) is a local and global minimum. Critical numbers: x= -1 and x = 1 There is no local maximum or local minimum. Critical number: x = 1 There is no local maximum or local minimum.

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
Problem 96E: Determine if the statement is true or false. If the statement is false, then correct it and make it...
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Find all the critical numbers of f(x) = 2x¹ − 4x³+3x²+2, then determine
the local minimum and maximum points by using a graph.
O
O
O
Critical numbers: x = 0 and x = 1
(0,2) is a local minimum.
Critical numbers: x= -1, x=0, x= 1
(0,2) is a local and global minimum.
Critical numbers: x= -1 and x = 1
There is no local maximum or local minimum.
Critical number: x = 1
There is no local maximum or local minimum.
Transcribed Image Text:3 - Find all the critical numbers of f(x) = 2x¹ − 4x³+3x²+2, then determine the local minimum and maximum points by using a graph. O O O Critical numbers: x = 0 and x = 1 (0,2) is a local minimum. Critical numbers: x= -1, x=0, x= 1 (0,2) is a local and global minimum. Critical numbers: x= -1 and x = 1 There is no local maximum or local minimum. Critical number: x = 1 There is no local maximum or local minimum.
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