A rational function's holes reflect the discontinuties found at the function's graph. Learn how to find holes and graph them here!

In this section, you will learn how to find the hole of a rational function. And we will be able to find the hole of a function, only if it is a rational function. That is, the function has to be in the form …

If the numerator and denominator of a rational expression have a shared factor that cancels, then the graph of the rational function will have a hole in it. This situation is distinct from that of a …

When graphing rational functions, holes, also known as removable discontinuities, occur when a factor is present in both the numerator and the denominator of the function. These common …

Sep 3, 2024 · Holes in a rational function occur when both the numerator P (x) and the denominator Q (x) share the common factor which causes the function to be undefined at …

Apr 24, 2017 · Finding and graphing a hole often involves simplifying the equation. This leaves a literal "hole" in the line of the graph that is often represented by an open circle. Factor the …

Mar 27, 2022 · 1. How do you find the holes of a rational function? 2. What’s the difference between a hole and a removable discontinuity? 3. If you see a hollow circle on a graph, what …

May 1, 2025 · A hole on a graph is a hollow circle, representing that the function approaches the point but is not defined at that precise value. Holes occur in rational functions when the …

We discuss the circumstances that generate holes in the domain of rational functions rather than vertical asymptotes. You can watch a lecture video on this here! In the last section we …

An asymptote is a line that a graph approaches without touching. If a graph has a horizontal asymptote of y = k, then part of the graph approaches the line y = k without touching it-- y is …