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  1. Rational Function - Graph, Domain, Range, Asymptotes - Cuemath

    What is a Rational Function? A rational function is a function that is the ratio of polynomials. Any function of one variable, x, is called a rational function if, it can be represented as f (x) = p (x)/q (x), where p …

  2. Rational Function – Definition, Equations, and Examples

    Aug 3, 2023 · Like polynomial functions, a rational function has zeros or roots, the points where the graph crosses the x-axis, or f (x) = 0. In a rational function, they are the zeros of the numerator, and …

  3. Rational function - Wikipedia

    In mathematics, a rational function is any function that can be defined by a rational fraction, which is an algebraic fraction such that both the numerator and the denominator are polynomials.

  4. Rational function - Math.net

    A rational function is a function made up of a ratio of two polynomials. Rational functions follow the form: In rational functions, P (x) and Q (x) are both polynomials, and Q (x) cannot equal 0. The parent …

  5. Rational Functions - Math Steps, Examples & Questions

    Rational functions or algebraic fractions, are functions that are fractions because they have a numerator and denominator. Rational functions are expressed as the ratio of two polynomials such that the …

  6. Rational functions (video) | Functions | Khan Academy

    What are rational functions? How do we plot them? What is their domain and range? Let's find out. We break down the definition of the function given in set-builder form and plot the graph by connecting …

  7. 2.7: Rational Functions - Mathematics LibreTexts

    Sep 14, 2025 · A rational function is a function that can be written as the quotient of two polynomial functions. Many real-world problems require us to find the ratio of two polynomial functions.

  8. Rational Function Definition (Illustrated Mathematics Dictionary)

    Illustrated definition of Rational Function: A function that is the ratio of two polynomials. It is Rational because one is divided by the other, like a...

  9. Rational Function – Definition, Properties, Graphs & Examples

    A rational function is a function that can be expressed as the ratio of two polynomials, P (x) and Q (x), where Q (x) ≠ 0. It's written as f (x) = P (x) / Q (x).

  10. Rational Functions, Equations, and Inequalities - mathhints.com

    Rational Functions are just a ratio of two polynomials (expression with constants and/or variables), and are typically thought of as having at least one variable in the denominator (which can never be 0).