Suppose you were asked to take the first three pieces of your rollercoaster and model them as closely as you can with a single polynomial function. Answer the following questions: a) If you represent these three pieces with a single function, what degree do you think this function will be? Justify your reasoning. b) Determine an equation for this function. You can refer to the Creating Polynomial Functions lesson pages for help. c) Graph the single function you created with the first three functions of your model together on the same grid. How similar is your single function compared to the first three pieces of your model? If there are any differences, why do you believe that is? Explain.

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