Consider the following. y = x5 + 6x5 (a) Find the interval(s) of increase. O (-6, ) 0(-6, 6) ㅇ (-8, 5) O (-0, 6), (12, ∞) O (-5, 0) Find the interval(s) of decrease. O (-0, -6), (6, ∞) O (-0, -5) O (5, 00) ㅇ(-8, -6) O (-6, 6) (b) Find the local maximum and minimum values. (Enter your answers as a comma-separated list. If an answer do local maximum values local minimum values (c) Find the interval(s) where the function is concave up. 0(-o, 0), (4, a0) O(-o, 0) O (0, 4) O (-4, 0)
Consider the following. y = x5 + 6x5 (a) Find the interval(s) of increase. O (-6, ) 0(-6, 6) ㅇ (-8, 5) O (-0, 6), (12, ∞) O (-5, 0) Find the interval(s) of decrease. O (-0, -6), (6, ∞) O (-0, -5) O (5, 00) ㅇ(-8, -6) O (-6, 6) (b) Find the local maximum and minimum values. (Enter your answers as a comma-separated list. If an answer do local maximum values local minimum values (c) Find the interval(s) where the function is concave up. 0(-o, 0), (4, a0) O(-o, 0) O (0, 4) O (-4, 0)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 84E
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Transcribed Image Text:Consider the following.
y = x6 + 6x5
(a) Find the interval(s) of increase.
O (-6, 0)
O (-6, 6)
O (-∞, 5)
O (-∞, 6), (12, ∞)
O (-5, ∞)
Find the interval(s) of decrease.
O (-∞, -6), (6, ∞)
O (-∞, -5)
O (5, 0)
O (-∞, -6)
O (-6, 6)
(b) Find the local maximum and minimum values. (Enter your answers as a comma-separated list. If an answer does
local maximum values
local minimum values
(c) Find the interval(s) where the function is concave up.
O (-0, 0), (4, 0)
O (-0, 0)
O (0, 4)
O (-4, 0)
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Transcribed Image Text:(c) Find the interval(s) where the function is concave up.
ㅇ (-8,0), (4, c0)
d (-o, 0)
O (0, 4)
ㅇ (-4, 0)
Q (-∞, -4), (0, ∞)
Find the interval(s) where the function is concave down.
O (-4, ∞)
O (0, 4)
ㅇ (-8, -4), (0, 8)
O (0, 0)
ㅇ (-4,0)
Find the inflection points. (If an answer does not exist, enter DNE.)
(x, y) =
(smaller x-value)
(х, у) %3D
(larger x-value)
(d) Determine the end behavior of the graph.
lim y
lim y
X -00
%3D
(e) Use the information from parts (a)-(d) to sketch the graph. Check your work with a graphing device if you have om
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