Use the graph of the polynomial f(x) to answer the questions below a. Is f(x) even, or odd, or neither? Why? b. Does it have any local extrema? If yes what is its value? If no, why not? c. Does it have any absolute extrema? If yes what is its value? If no, why not?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.1: Polynomial Functions Of Degree Greater Than
Problem 35E
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12. Use the graph of the polynomial f(x) to answer the questions below
a. Is f(x) even, or odd, or neither? Why?
b. Does it have any local extrema?
If yes what is its value? If no, why not?
c. Does it have any absolute extrema?
If yes what is its value? If no, why not?
Transcribed Image Text:12. Use the graph of the polynomial f(x) to answer the questions below a. Is f(x) even, or odd, or neither? Why? b. Does it have any local extrema? If yes what is its value? If no, why not? c. Does it have any absolute extrema? If yes what is its value? If no, why not?
d. Give the intervals where the function is increasing and decreasing
e. What is the smallest possible degree of f(x)?
Transcribed Image Text:d. Give the intervals where the function is increasing and decreasing e. What is the smallest possible degree of f(x)?
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