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 …

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 …

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 …

Rational function 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 …

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. Up …

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.

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 …

Dec 3, 2025 · A quotient of two polynomials P (z) and Q (z), R (z)= (P (z))/ (Q (z)), is called a rational function, or sometimes a rational polynomial function. More generally, if P and Q are polynomials in …

Most rational functions will be made up of more than one piece. In addition, notice how the function keeps decreasing as x approaches 0 from the left, and how it keeps increasing as x approaches 0 …

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.