Which of the following statements about the function given by f(x)=x* – 2x² +1 is true? a. The function has no relative (absolute) extremum. b. The graph of the function has one point of inflection and the function has two relative (absolute) extrema. c. The graph of the function has two points of inflection and the function has one relative (absolute) extremum. d. The graph of the function has two points of inflection and the function has two relative (absolute) extrema. e. The graph of the function has two points of inflection and the function has three relative (absolute) extrema.

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
Section9.5: Graphing Rational Functions
Problem 36PS
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Which of the following statements about the function given by f(x)=x* – 2x2 +1 is
true?
а.
The function has no relative (absolute) extremum.
b. The graph of the function has one point of inflection and the function has two relative
(absolute) extrema.
c. The graph of the function has two points of inflection and the function has one
relative (absolute) extremum.
d. The graph of the function has two points of inflection and the function has two
relative (absolute) extrema.
e. The graph of the function has two points of inflection and the function has three
relative (absolute) extrema.
Transcribed Image Text:Which of the following statements about the function given by f(x)=x* – 2x2 +1 is true? а. The function has no relative (absolute) extremum. b. The graph of the function has one point of inflection and the function has two relative (absolute) extrema. c. The graph of the function has two points of inflection and the function has one relative (absolute) extremum. d. The graph of the function has two points of inflection and the function has two relative (absolute) extrema. e. The graph of the function has two points of inflection and the function has three relative (absolute) extrema.
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