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 …

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 …

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.

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 …

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 …

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 …

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 …

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 …

rational function: Any function whose value can be expressed as the quotient of two polynomials (where the polynomial in the denominator is not zero). singularities: The [latex]x [/latex]-values …

Once we have a thorough understanding of polynomials we can look at rational functions that are a quotient of two polynomials. These rational functions have certain behaviors, and students …