textbook-theory · English
Rational Polynomial Functions
A five-page lecture note covering rational polynomial functions and their domains, the technique of polynomial long division for decomposing such functions into a polynomial part and a remainder, and the resulting analysis of horizontal, slant, and vertical asymptotes. Three worked examples illustrate how the polynomial part governs behavior as x approaches positive or negative infinity, while the remainder governs behavior near points outside the domain. The treatment is introductory calculus-course level with no connection to analog computing hardware.
rational polynomial functionspolynomial long divisionasymptoteslimits