Are All Rational Functions Continuous On Their Domain

Juli 03, 2022

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The composition of continuous functions is continuous. 1/x is continuous on its domain. The product of two continuous functions is continuous. A rational function has the form f(x) = p(x) / q.

Prove that all polymomials and rational functions are continuous on their domain. E → r is continuous, then {r e r : F (x) = 0} is relatively closed in e. B) all rational functions are continuous over their domain. C) the absolute value function is continuous everywhere. D) is continuous for all real numbers if n is odd. F) the sine and cosine functions are continuous over all real numbers. G) the cotangent, cosecant, secant and. Finding the range of a rational function is similar to finding the domain of the function but requires a few additional steps.