Let f(x) = x'e. (Round all answers to four decimal places, if necessary.) (a) Find the interval(s) where f(x) is concave up. (Enter your answer using interval notation.) (-∞, -1.7) U(-.3, ∞) x (b) Find the interval(s) where f(x) is concave down. (Enter your answer using interval notation.) (-1.7, -.3) x (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 = -1.7, -.3 x

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) = x²e²x. (Round all answers to four decimal places, if necessary.)
X
(a) Find the interval(s) where f(x) is concave up. (Enter your answer using interval notation.)
(-∞, -1.7) U (-.3, ∞) x
(b) Find the interval(s) where f(x) is concave down. (Enter your answer using interval notation.)
(-1.7,.3) x
(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.)
-1.7, .3 x
X =
Transcribed Image Text:Let f(x) = x²e²x. (Round all answers to four decimal places, if necessary.) X (a) Find the interval(s) where f(x) is concave up. (Enter your answer using interval notation.) (-∞, -1.7) U (-.3, ∞) x (b) Find the interval(s) where f(x) is concave down. (Enter your answer using interval notation.) (-1.7,.3) x (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.) -1.7, .3 x X =
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