What is a good way to explain why the graph of polynomials do not exhibit ripples? – math.stackexchange.com

What is a good way to explain why the graph of polynomials do not exhibit ripples? – math.stackexchange.com

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I was showing someone the graph of $0.1x^9+0.6x^5+0.5x^2 + x$ on Wolframalpha (for this question, any real valued polynomial will do) Someone asked me why the graphs of polynomials are smooth no ...

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