Only one of the following graphs could be the graph of a polynomial function. Which ône? Why are the others not graphs of polynomials? (Select all that apply.) o The graph could be that of a polynomial function. o The graph could not be that of a polynomial function because it has a cusp. o The graph could not be that of a polynomial function because it has a break. o The graph could not be that of a polynomial function because it does not pass the horizontal line test. o The graph could not be that of a polynomial function because it is not smooth. o The graph could be that of a polynomial function. o The graph could not be that of a polynomial function because it has a cusp. o 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. o The graph could not be that of a polynomial function because it is not smooth. III o The graph could be that of a polynomial function. o 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. o The graph could not be that of a polynomial function because it does not pass the horizontal line test. o The graph could not be that of a polynomial function because it is not smooth. o The graph could be that of a polynomial function. o The graph could not be that of a polynomial function because it has a cusp. o The graph could not be that of a polynomial function because it has a break. o The graph could not be that of a polynomial function because it does not pass the horizontal line test. o The graph could not be that of a polynomial function because it is not smooth.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section: Chapter Questions
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Only one of the following graphs could be the graph of a polynomial function. Which ône? Why are the others not graphs of polynomials? (Select all that apply.)
o The graph could be that of a polynomial function.
o The graph could not be that of a polynomial function because it has a cusp.
o The graph could not be that of a polynomial function because it has a break.
o The graph could not be that of a polynomial function because it does not pass the horizontal line test.
o The graph could not be that of a polynomial function because it is not smooth.
o The graph could be that of a polynomial function.
o The graph could not be that of a polynomial function because it has a cusp.
o 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.
o The graph could not be that of a polynomial function because it is not smooth.
III
o The graph could be that of a polynomial function.
o 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.
o The graph could not be that of a polynomial function because it does not pass the horizontal line test.
o The graph could not be that of a polynomial function because it is not smooth.
o The graph could be that of a polynomial function.
o The graph could not be that of a polynomial function because it has a cusp.
o The graph could not be that of a polynomial function because it has a break.
o The graph could not be that of a polynomial function because it does not pass the horizontal line test.
o 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 ône? Why are the others not graphs of polynomials? (Select all that apply.) o The graph could be that of a polynomial function. o The graph could not be that of a polynomial function because it has a cusp. o The graph could not be that of a polynomial function because it has a break. o The graph could not be that of a polynomial function because it does not pass the horizontal line test. o The graph could not be that of a polynomial function because it is not smooth. o The graph could be that of a polynomial function. o The graph could not be that of a polynomial function because it has a cusp. o 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. o The graph could not be that of a polynomial function because it is not smooth. III o The graph could be that of a polynomial function. o 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. o The graph could not be that of a polynomial function because it does not pass the horizontal line test. o The graph could not be that of a polynomial function because it is not smooth. o The graph could be that of a polynomial function. o The graph could not be that of a polynomial function because it has a cusp. o The graph could not be that of a polynomial function because it has a break. o The graph could not be that of a polynomial function because it does not pass the horizontal line test. o The graph could not be that of a polynomial function because it is not smooth.
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