Consider the following function. g(x) = 220 + 8x3 + x4 (a) Find the intervals of increase and decrease. (b) Find the local minimum and maximum values. (c) Find the intervals where the graph is concave upward and downward, and find the inflection points. (d) Use the information from parts (a)-(c) to sketch the graph.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
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This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive
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Tutorial Exercise
Consider the following function.
g(x) = 220 + 8x3 + x4
(a) Find the intervals of increase and decrease.
(b) Find the local minimum and maximum values.
(c) Find the intervals where the graph is concave upward and downward, and find the inflection points.
(d) Use the information from parts (a)-(c) to sketch the graph.
Transcribed Image Text:This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Consider the following function. g(x) = 220 + 8x3 + x4 (a) Find the intervals of increase and decrease. (b) Find the local minimum and maximum values. (c) Find the intervals where the graph is concave upward and downward, and find the inflection points. (d) Use the information from parts (a)-(c) to sketch the graph.
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