Chapter 3
A rational function R is a ratio of polynomials P, Q R(x) = P(x) Q(x). The domain of R is the set of points in R such that Q ̸= 0. Corollary 3.16. Every polynomial function is continuous on R and every rational function is continuous on its domain. Proof. The constant function f(x) = 1 and the identity function g(x) = x are
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