A polynomial function can't have a discontinuity. The domain for all polynomials is all real numbers.
An example of a discontinuity is where the denominator is zero, e.g. y = 1/x is undefined where x = 0
An example of a removable discontinuity is where the same factor appears in both the numerator and denominator, e.g. y = x/x is undefined where x = 0 but has no asymptote.
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