How to Find the Hole of a Rational Function - Concept - Examples with step by step explanation

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

To find the vertical asymptote (s) of a rational function, we set the denominator equal to 0 and solve for x. The horizontal asymptote is a horizontal line which the graph of the function...

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Jul 23, 2025 · By factoring and simplifying the function we can pinpoint these holes and accurately depict the function's graph. Properly addressing holes ensures a complete and precise …

How do we find a hole in the graph? When graphing rational functions, holes, also known as removable discontinuities, occur when a factor is present in both the numerator and the …

May 5, 2025 · Here you will learn how to find holes of a rational function which helps in sketching accurate graphs and analyzing the function's behavior.

Oct 1, 2025 · To graph a function with holes, cancel out the removable factors and graph the remaining function, noting the values that make the function undefined. After graphing the …

Apr 24, 2017 · Other discontinuities are called holes. Finding and graphing a hole often involves simplifying the equation. This leaves a literal "hole" in the line of the graph that is often …

May 16, 2025 · Below is a Mermaid diagram illustrating the step-by-step process for locating holes in a rational function: In the diagram, each step represents an essential action in locating the …