Consider the following function. f(x) = x4 - 8x3 + 18x² + 4 %3D (a) Make a sign diagram for the first derivative. --Select--- v ---Select--- v ---Select--- v ---Select--- v ---Select--- v X = X = (b) Make a sign diagram for the second derivative. ---Select--- v ---Select--- v ---Select--- v ---Select-- v ---Select--- v X = X = () Sketch the graph, showing all relative extreme points and inflection points. 40

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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Consider the following function.
f(x) = x4 – 8x3 + 18x² + 4
|
(a) Make a sign diagram for the first derivative.
---Select--- v
---Select--- v
---Select--- v
---Select--- v
---Select--- v
X =
X =
(b) Make a sign diagram for the second derivative.
---Select--- v
---Select--- v
---Select--- v
---Select--- v
---Select--- v
X =
X =
(c) Sketch the graph, showing all relative extreme points and inflection points.
y
40
y
40
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J
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%#3
Transcribed Image Text:Consider the following function. f(x) = x4 – 8x3 + 18x² + 4 | (a) Make a sign diagram for the first derivative. ---Select--- v ---Select--- v ---Select--- v ---Select--- v ---Select--- v X = X = (b) Make a sign diagram for the second derivative. ---Select--- v ---Select--- v ---Select--- v ---Select--- v ---Select--- v X = X = (c) Sketch the graph, showing all relative extreme points and inflection points. y 40 y 40 Delete PriSc GOO0 F11 Invsert DP F10 F12 DIB F7 F9 F8 Backspace Num Lock F6 F5 F4 F3 Esc F2 FnLock %23 %24 7 8. 4 Hos 1 Y W E Enter J K + // CO %#3
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