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

Jul 23, 2025 · Holes occur where both the numerator and denominator share common factors that cancel out leading to discontinuities. By factoring and simplifying the function we can pinpoint these …

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

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 denominator of 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.

May 17, 2025 · Explore how to identify, factor, and simplify rational functions to locate holes, with step-by-step methods and exercises for Pre-Calculus.

Dec 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 function without …

Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.

How to find Holes or Points of Discontinuity on a graph. Graph a line with a hole.

Points of discontinuity, also known as holes, are points on a rational function that are undefined. We can find the points of discontinuity by factoring the numerator and denominator of a rational function and …