Consider the function below. (If an answer does not exist, enter DNE.) h(x) = 5x³-3x³ (a) Find the interval of increase. (Enter your answer using interval notation.) (-00,0) U (1,00) Find the interval of decrease. (Enter your answer using interval notation.) (0,1) (b) Find the local minimum value(s). (Enter your answers as a comma-separated list.) -1.6 Find the local maximum value(s). (Enter your answers as a comma-separated list.) 1.6 (c) Find the inflection points. (x, y) = (smallest x-value) (x, y) (x, y) = = (largest x-value) Find the interval where the graph is concave upward. (Enter your answer using interval notation.) Find the interval where the graph is concave downward. (Enter your answer using interval notation.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 43E
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Consider the function below. (If an answer does not exist, enter DNE.)
h(x) = 5x³-3x³
(a) Find the interval of increase. (Enter your answer using interval notation.)
(-00,0) U (1,00)
Find the interval of decrease. (Enter your answer using interval notation.)
(0,1)
(b) Find the local minimum value(s). (Enter your answers as a comma-separated list.)
-1.6
Find the local maximum value(s). (Enter your answers as a comma-separated list.)
1.6
(c) Find the inflection points.
(x, y) =
(smallest x-value)
(x, y)
(x, y) =
=
(largest x-value)
Find the interval where the graph is concave upward. (Enter your answer using interval notation.)
Find the interval where the graph is concave downward. (Enter your answer using interval notation.)
Transcribed Image Text:Consider the function below. (If an answer does not exist, enter DNE.) h(x) = 5x³-3x³ (a) Find the interval of increase. (Enter your answer using interval notation.) (-00,0) U (1,00) Find the interval of decrease. (Enter your answer using interval notation.) (0,1) (b) Find the local minimum value(s). (Enter your answers as a comma-separated list.) -1.6 Find the local maximum value(s). (Enter your answers as a comma-separated list.) 1.6 (c) Find the inflection points. (x, y) = (smallest x-value) (x, y) (x, y) = = (largest x-value) Find the interval where the graph is concave upward. (Enter your answer using interval notation.) Find the interval where the graph is concave downward. (Enter your answer using interval notation.)
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