How to determine if a graph is a polynomial function

For the following exercises, determine whether the graph of the function provided is a graph of a polynomial function. If so, determine the number of turning points and the least possible degree for the function.

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[GlaserTutoring]

Hi everyone!
Just a quick note about the video above: There is one more important criteria that needs to be added to determine whether the function is a polynomial function and that is that all turns must be SMOOTH! Please see this video for an explanation:
Happy studying!