Only one of the following graphs could be the graph of a


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.)

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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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Mathematics: Only one of the following graphs could be the graph of a
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