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  1. 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 …

  2. 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.

  3. 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 …

  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. …

  5. 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 …

  6. 6.1 Rational Functions - Mathematics LibreTexts

    Feb 1, 2025 · Just as a rational number is a ratio of two integers, a rational function is a ratio of two polynomials. That's all there is to it! Stuff like this: () 1, (x) = + + 1 3, (x) = + 2 + + 1. A …

  7. 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...

  8. 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).

  9. Rational Functions - Algebrica

    Nov 22, 2025 · A rational function is a function that can be expressed as the ratio of two polynomials, typically written as y = P (x) / Q (x), where Q (x) ≠ 0.

  10. Rational Function - GeeksforGeeks

    Oct 28, 2025 · A Rational Function is a type of function that is expressed as a fraction, where both the numerator and denominator are polynomials, and the denominator cannot be equal to zero.