y one of the following graphs could be the graph of a polynomial function. Which one? Why are the others not I y 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.

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Chapter3: Polynomial And Rational Functions
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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
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.
II
y 4
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.
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.
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.
IV
y 4
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 one? Why are the others not graphs of polynomials? (Select all that apply.) I 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. II y 4 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. 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. 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. IV y 4 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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