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===Disadvantages===
However, polynomial models also have the following limitations.
#Polynomial models have poor [[interpolation|interpolatory]] properties. High-degree polynomials are notorious for [[Runge's phenomenon|oscillations between exact-fit values]].
#Polynomial models have poor [[extrapolation|extrapolatory]] properties. Polynomials may provide good fits within the range of data, but they will frequently deteriorate rapidly outside the range of the data.
#Polynomial models have poor [[asymptote|asymptotic]] properties. By their nature, polynomials have a finite response for finite ''x'' values and have an infinite response if and only if the ''x'' value is infinite. Thus polynomials may not model asymptotic phenomena very well.
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