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A polynomial function have a polynomial graph.

... That's not very helpful is it, but the most common formal definition of a function is that it is its graph.

So, I can only describe it. A polynomial graph consists of "bumps", formally called local maxima and minima, and "inflection points", where concavity changes. What's more? They numbers and shape varies a lot for different polynomials. Usually, the poly with higher power will have more "bumps" and inflection points, but it is not a absolute trend.

The best way to analyze the graph of a polynomial is through Calculus.

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Q: What is a polynomial function as a graph?
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