Let f(x) = -x- 8x³ + 6x + 3. (a) Find the interval(s) where f(x) is concave up. (Enter your answer using interval notation.) (b) Find the interval(s) where f(x) is concave down. (Enter your answer using interval notation.) (c) Find the x-value(s) of the inflection points of f(x). (Enter your answers as a comma-separated list. If there are no inflection points, enter NONE.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.4: Factoring Polynomials
Problem 84E: The rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the...
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Let f(x) = -x48x³ + 6x + 3.
(a) Find the interval(s) where f(x) is concave up. (Enter your answer using interval notation.)
(b) Find the interval(s) where f(x) is concave down. (Enter your answer using interval notation.)
(c) Find the x-value(s) of the inflection points of f(x). (Enter your answers as a comma-separated list. If there are no inflection
points, enter NONE.)
X =
Transcribed Image Text:Let f(x) = -x48x³ + 6x + 3. (a) Find the interval(s) where f(x) is concave up. (Enter your answer using interval notation.) (b) Find the interval(s) where f(x) is concave down. (Enter your answer using interval notation.) (c) Find the x-value(s) of the inflection points of f(x). (Enter your answers as a comma-separated list. If there are no inflection points, enter NONE.) X =
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