Explain the following true or false questions in full detailed sentences and answers. Explain your thinking. 1. True or false The relative maxima of the function f are f(1) = 4 and f(3) = 10. Therefore, f has at least one minimum for some xon the open interval (1,3). 2. True or false The graph of every cubic polynomial has precisely one point of inflection. 3. True or false If f'(2) = 0, then the graph of f must have an extreme value at x= 2. 4. True or false There is no function with an infinite number of critical points.

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 98E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Explain the following true or false questions in full detailed sentences and answers.
Explain your thinking.
1. True or false
The relative maxima of the function f are f(1) = 4
and f(3) = 10. Therefore, f has at least one
minimum for some xon the open interval (1,3).
2. True or false
The graph of every cubic polynomial has precisely one
point of inflection.
3. True or false
If f'(2) = 0, then the graph of f must have an
extreme value at x = 2.
4. True or false
There is no function with an infinite number of critical
points.
Transcribed Image Text:Explain the following true or false questions in full detailed sentences and answers. Explain your thinking. 1. True or false The relative maxima of the function f are f(1) = 4 and f(3) = 10. Therefore, f has at least one minimum for some xon the open interval (1,3). 2. True or false The graph of every cubic polynomial has precisely one point of inflection. 3. True or false If f'(2) = 0, then the graph of f must have an extreme value at x = 2. 4. True or false There is no function with an infinite number of critical points.
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