I now know more about rational polynomial functions than I ever wanted or needed to know. A benefit ( or maybe not) of tutoring. The behavior ( symmetry or antisymmetry) of functions at vertical asymptotes is determined by whether the exponent of the term in the denominator responsible for the asymptote is even or odd. Obvious when one thinks about it, and I guess making one think is the best reason for learning this stuff.
Speaking of math; I think you'll get a kick out of this
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