CORsider the following. f(x) = 6x³ – 9x² – 108x %3D (a) Find the intervals on which f is increasing or decreasing. (Enter your answers using interval notation. increasing decreasing (b) Find the local maximum and minimum values of f. (If an answer does not exist, enter DNE.) local minimum value local maximum value

Trigonometry (MindTap Course List)
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ChapterP: Prerequisites
SectionP.5: Functions
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Ch 4.3 #7 Can you show me how to do this
Consider the following.
f(x) = 6x³ – 9x² – 108x
(a) Find the intervals on which f is increasing or decreasing. (Enter your answers using interval notation.)
increasing
decreasing
(b) Find the local maximum and minimum values of f. (If an answer does not exist, enter DNE.)
local minimum value
local maximum value
(c) Find the intervals of concavity and the inflection points. (Enter your answers using interval notation.)
concave up
concave down
(x, y) = (
inflection point
Transcribed Image Text:Consider the following. f(x) = 6x³ – 9x² – 108x (a) Find the intervals on which f is increasing or decreasing. (Enter your answers using interval notation.) increasing decreasing (b) Find the local maximum and minimum values of f. (If an answer does not exist, enter DNE.) local minimum value local maximum value (c) Find the intervals of concavity and the inflection points. (Enter your answers using interval notation.) concave up concave down (x, y) = ( inflection point
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