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.

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.

 

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