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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. Algebra - Rational Functions - Pauls Online Math Notes

    Nov 16, 2022 · In this section we will discuss a process for graphing rational functions. We will also introduce the ideas of vertical and horizontal asymptotes as well as how to determine if the graph of …

  5. Rational functions | Precalculus | Math | Khan Academy

    Divide one polynomial by another, and what do you get? A rational function! We'll analyze the family of rational functions, and we'll see some examples of how they can be useful in modeling contexts.

  6. 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.

  7. 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.

  8. Graphing rational functions without a calculator | Purplemath

    What is a rational function? A rational function is an equation of the form y = (a rational expression). A rational expression is a polynomial fraction. Because a rational expression contains a polynomial in …

  9. 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.

  10. 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 …