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A rational function is a function that can be defined by a rational fraction, which is an algebraic fraction of polynomials. Learn about the definitions, examples, properties, and applications of rational functions in mathematics and complex analysis.
Learn what a rational function is, how to identify it, and how to graph it. Find out its domain, range, and types of asymptotes with examples and practice problems.
Definition: Rational Functions. A rational function is a function that can be written as a quotient of two polynomial functions. In symbols, the function \[f(x)=\frac{a_{0}+a_{1} x+a_{2} x^{2}+\cdots+a_{n} x^{n}}{b_{0}+b_{1} x+b_{2} x^{2}+\cdots+b_{m} x^{m}} \nonumber \] is called a rational function.
3 sie 2023 · A function of a real variable x, say f(x), is a rational function if it can be represented as: f(x) = ${\dfrac{p\left( x\right) }{q\left( x\right) }}$, here p(x), q(x) are polynomials in x with q(x) ≠ 0.
A rational function is a function made up of a ratio of two polynomials. Learn how to identify and transform rational functions, and what are vertical and horizontal asymptotes.
Learn what rational functions are, how to find their domains, and how to graph them. See examples, key terms, and key points about rational functions and their properties.
3 paź 2022 · Learn what rational functions are, how to find their domains and how to graph them. See examples of rational functions and their simplification, and compare them with polynomial functions.
