Consider the following. (If an answer does not exist, enter DNE.) h(x) = 5x3 - 3x5 %3D (a) Find the interval(s) of increase. (Enter your answer using interval notation.) |(-1,0),(0,1) Find the interval(s) of decrease. (Enter your answer using interval notation.) (-x, – 1),(1,00) (b) Find the local minimum value(s). (Enter your answers as a comma-separated list.) -1 Find the local maximum value(s). (Enter your answers as a comma-separated list.) 1 (c) Find the inflection points. (Order your answers from smallest to largest x, then from smallest to largest y.) (x, y) = 8 (x, y) = ( 0,0 2 7V2 (х, у) - 2 8 Find the interval(s) where the function is concave up. (Enter your answer using interval notation.) (-x. 2 Find the interval(s) where the function is concave down. (Enter your answer using interval notation.) 2 V2

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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Consider the following. (If an answer does not exist, enter DNE.)
h(x) = 5x3 - 3x5
(a) Find the interval(s) of increase. (Enter your answer using interval notation.)
(-1,0),(0,1)
Find the interval(s) of decrease. (Enter your answer using interval notation.)
(-0, – 1),(1,0x)
(b) Find the local minimum value(s). (Enter your answers as a comma-separated list.)
-1
Find the local maximum value(s). (Enter your answers as a comma-separated list.)
1
(c) Find the inflection points. (Order your answers from smallest to largest x, then from smallest to largest y.)
7V2
(x, y)
-
(x, y) = (0,0
V2 7V2
(x, y)
2
Find the interval(s) where the function is concave up. (Enter your answer using interval notation.)
V2
00,
Find the interval(s) where the function is concave down. (Enter your answer using interval notation.)
|(-4
2
V2
,00
2
Transcribed Image Text:Consider the following. (If an answer does not exist, enter DNE.) h(x) = 5x3 - 3x5 (a) Find the interval(s) of increase. (Enter your answer using interval notation.) (-1,0),(0,1) Find the interval(s) of decrease. (Enter your answer using interval notation.) (-0, – 1),(1,0x) (b) Find the local minimum value(s). (Enter your answers as a comma-separated list.) -1 Find the local maximum value(s). (Enter your answers as a comma-separated list.) 1 (c) Find the inflection points. (Order your answers from smallest to largest x, then from smallest to largest y.) 7V2 (x, y) - (x, y) = (0,0 V2 7V2 (x, y) 2 Find the interval(s) where the function is concave up. (Enter your answer using interval notation.) V2 00, Find the interval(s) where the function is concave down. (Enter your answer using interval notation.) |(-4 2 V2 ,00 2
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