Only one of the following graphs could be the graph of a polynomial function. Which one? Why are the others not graphs of polynomials? (Select all that apply.) I уА х The graph could be that of a polynomial function The graph could not be that of a polynomial function because it has a cusp. The graph could not be that of a polynomial function because it has a break. The graph could not be that of a polynomial function because it does not pass the horizontal line test. The graph could not be that of a polynomial function because it is not smooth. II ул X The graph could be that of a polynomial function The graph could not be that of a polynomial function because it has a cusp The graph could not be that of a polynomial function because it has a break. The graph could not be that of a polynomial function because it does not pass the horizontal line test. The graph could not be that of a polynomial function because it is not smooth. Ш ул х The graph could be that of a polynomial function The graph could not be that of a polynomial function because it has a cusp The graph could not be that of a polynomial function because it has a break. The graph could not be that of a polynomial function because it does not pass the horizontal line test. The graph could not be that of a polynomial function because it is not smooth. IV у The graph could be that of a polynomial function. The graph could not be that of a polynomial function because it has a cusp. The graph could not be that of a polynomial function because it has a break. The graph could not be that of a polynomial function because it does not pass the horizontal line test. The graph could not be that of a polynomial function because it is not smooth.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.2: Polynomial Functions Of Higher Degree
Problem 106E: For each graph, describe a polynomial function that could represent the graph. (Indicate the degree...
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Only one of the following graphs could be the graph of a polynomial function. Which one? Why are the others not graphs of polynomials? (Select all that apply.)
I
уА
х
The graph could be that of a polynomial function
The graph could not be that of a polynomial function because it has a cusp.
The graph could not be that of a polynomial function because it has a break.
The graph could not be that of a polynomial function because it does not pass the horizontal line test.
The graph could not be that of a polynomial function because it is not smooth.
II
ул
X
The graph could be that of a polynomial function
The graph could not be that of a polynomial function because it has a cusp
The graph could not be that of a polynomial function because it has a break.
The graph could not be that of a polynomial function because it does not pass the horizontal line test.
The graph could not be that of a polynomial function because it is not smooth.
Transcribed Image Text:Only one of the following graphs could be the graph of a polynomial function. Which one? Why are the others not graphs of polynomials? (Select all that apply.) I уА х The graph could be that of a polynomial function The graph could not be that of a polynomial function because it has a cusp. The graph could not be that of a polynomial function because it has a break. The graph could not be that of a polynomial function because it does not pass the horizontal line test. The graph could not be that of a polynomial function because it is not smooth. II ул X The graph could be that of a polynomial function The graph could not be that of a polynomial function because it has a cusp The graph could not be that of a polynomial function because it has a break. The graph could not be that of a polynomial function because it does not pass the horizontal line test. The graph could not be that of a polynomial function because it is not smooth.
Ш
ул
х
The graph could be that of a polynomial function
The graph could not be that of a polynomial function because it has a cusp
The graph could not be that of a polynomial function because it has a break.
The graph could not be that of a polynomial function because it does not pass the horizontal line test.
The graph could not be that of a polynomial function because it is not smooth.
IV
у
The graph could be that of a polynomial function.
The graph could not be that of a polynomial function because it has a cusp.
The graph could not be that of a polynomial function because it has a break.
The graph could not be that of a polynomial function because it does not pass the horizontal line test.
The graph could not be that of a polynomial function because it is not smooth.
Transcribed Image Text:Ш ул х The graph could be that of a polynomial function The graph could not be that of a polynomial function because it has a cusp The graph could not be that of a polynomial function because it has a break. The graph could not be that of a polynomial function because it does not pass the horizontal line test. The graph could not be that of a polynomial function because it is not smooth. IV у The graph could be that of a polynomial function. The graph could not be that of a polynomial function because it has a cusp. The graph could not be that of a polynomial function because it has a break. The graph could not be that of a polynomial function because it does not pass the horizontal line test. The graph could not be that of a polynomial function because it is not smooth.
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