Molly has made it to the Million Dollar Level on the popular math game show, Brains of Math Destruction. Unfortunately she is stuck on the last question, but she is allowed to call one expert for help. She calls you and asks, "How can key features be used to create a sketch of any polynomial function?"
Explain to Molly, in complete sentences, what key features are necessary and how they can be used to create the sketch of a polynomial function.
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Key features are used to graph a polynomial.
They are also used to try to figure out the function when given the graph, or some limited information about the graph.
One use of zeros, is to get information about the degree of a polynomial.
A polynomial with no zeros, or an even number of zeros must have have an even degree.
A polynomial with an odd number of zeros must have an odd degree.