Consider the following function and answer the sections: f(x)= - 25x+1 x³ 3 a) Calculate the critical points of the function f(x). b) Identify the intervals of the domain where the function is increasing and decreasing. c) Find the points of the domain where the function reaches its local and global maxima and minima (if any).

Algebra for College Students
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Author:Jerome E. Kaufmann, Karen L. Schwitters
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Chapter9: Polynomial And Rational Functions
Section9.4: Graphing Polynomial Functions
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D1. SOLVE STEP BY STEP IN DIGITAL FORMAT
Consider the following function and answer the sections:
X
3
f(x)=
3
a) Calculate the critical points of the function f(x).
b) Identify the intervals of the domain where the function is increasing and decreasing.
c) Find the points of the domain where the function reaches its local and global maxima and
minima (if any).
- 25x+1
d) Locate the intervals of concavity.
e) Find the inflection points.
Transcribed Image Text:D1. SOLVE STEP BY STEP IN DIGITAL FORMAT Consider the following function and answer the sections: X 3 f(x)= 3 a) Calculate the critical points of the function f(x). b) Identify the intervals of the domain where the function is increasing and decreasing. c) Find the points of the domain where the function reaches its local and global maxima and minima (if any). - 25x+1 d) Locate the intervals of concavity. e) Find the inflection points.
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