Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x3 - 3x2 - 9x + 6 (a) Find the interval(s) on which f is increasing. (Enter your answer using interval notation.) Find the interval(s) on which f is decreasing. (Enter your answer using interval notation.) (b) Find the local minimum and maximum values of f. local minimum value local maximum value (c) Find the inflection point. (x, y) = Find the interval(s) on which f is concave up. (Enter your answer using interval notation.) Find the interval(s) on which f is concave down. (Enter your answer using interval notation.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 51E
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Consider the equation below. (If an answer does not exist, enter DNE.)
f(x)
= x - 3x - 9x + 6
(a) Find the interval(s) on which f is increasing. (Enter your answer using interval notation.)
Find the interval(s) on which f is decreasing. (Enter your answer using interval notation.)
(b) Find the local minimum and maximum values of f.
local minimum value
local maximum value
(c) Find the inflection point.
(x, y) =
Find the interval(s) on which f is concave up. (Enter your answer using interval notation.)
Find the interval(s) on which f is concave down. (Enter your answer using interval notation.)
Transcribed Image Text:Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x - 3x - 9x + 6 (a) Find the interval(s) on which f is increasing. (Enter your answer using interval notation.) Find the interval(s) on which f is decreasing. (Enter your answer using interval notation.) (b) Find the local minimum and maximum values of f. local minimum value local maximum value (c) Find the inflection point. (x, y) = Find the interval(s) on which f is concave up. (Enter your answer using interval notation.) Find the interval(s) on which f is concave down. (Enter your answer using interval notation.)
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