For the given function, find the critical points c and the intervals on which the function is increasing or decreasing. g(x) = 6x° + 6x² + 6x In addition, determine which critical points identify a local minimum and which critical points identify a local maximum. If no points or intervals exist for a particular value, enter DNE. c = DNE increasing intervals: (-0,0) decreasing intervals: (0,00) local minima at x = DNE local maxima at x = DNE

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section: Chapter Questions
Problem 30RE: For the following exercises, use the graphs to determine the intervals on which the functions are...
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For the given function, find the critical points c and the intervals on which the function is increasing or decreasing.
g(x) = 6x° + 6x7 + 6x
In addition, determine which critical points identify a local minimum and which critical points identify a local maximum.
If no points or intervals exist for a particular value, enter DNE.
c =
DNE
increasing intervals:
(-0,0)
decreasing intervals:
(0,00)
local minima at x =
DNE
local maxima at x =
DNE
Transcribed Image Text:For the given function, find the critical points c and the intervals on which the function is increasing or decreasing. g(x) = 6x° + 6x7 + 6x In addition, determine which critical points identify a local minimum and which critical points identify a local maximum. If no points or intervals exist for a particular value, enter DNE. c = DNE increasing intervals: (-0,0) decreasing intervals: (0,00) local minima at x = DNE local maxima at x = DNE
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