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How to Find Asymptotes & Holes
A rational equation contains a fraction with a polynomial in both the numerator and denominator -- for example; the equation y = (x - 2) / (x^2 - x - 2). When graphing rational equations, two important features are the asymptotes and the holes of the... More »
Difficulty: Moderate
Source: www.ehow.com

## Asymptotes: Examples - Purplemath

www.purplemath.com/modules/asymtote4.htm

Find the domain and all asymptotes of the following function: ... case differently: Some books may say that there is no vertical asymptote where there is a "hole".

## Graphing Rational Functions: The Special Case with the "Hole"

www.purplemath.com/modules/grphrtnl4.htm

Since the degree is one greater in the numerator, I know that I will have a slant asymptote. But I need to do the long division to find out what the equation of the ...

## SparkNotes: Special Graphs: Asymptotes and Holes

www.sparknotes.com/math/algebra2/specialgraphs/section2.rhtml

A summary of Asymptotes and Holes in 's Special Graphs. ... If a graph has a horizontal asymptote of y = k , then part of the graph ... Find out with this quiz!

Sep 14, 2011 ... In this video we look at a rational function and identify its domain, identify its vertical asymptotes and determine whether or not it has a hole.

## How to find holes in rational functions - Quora

www.quora.com/How-do-you-find-holes-in-rational-functions

The term "hole" used here is another name for a removable discontinuity or removable ... My Pre-calc. final is tomorrow, and I know there will be something where I'll be given a rational function and I'll need to find asymptotes, holes, etc.

## 3.5 - Rational Functions and Asymptotes

people.richland.edu/james/lecture/m116/polynomials/rational.html

There will either be a vertical asymptote at x=k, or there will be a hole at x=k. ... To find the equation of the oblique asymptote, perform long division (synthetic if it ...

## Asymptotes and Graphing Rational Functions - Brainfuse

www.brainfuse.com/jsp/alc/resource.jsp?s=gre&c=36982&cc=108825

To graph a rational function, find the asymptotes and intercepts, plot a few ... Vertical asymptotes are "holes" in the graph where the function cannot have a value.

## Vertical Asymptotes vs. Holes Exercises - Shmoop

www.shmoop.com/functions-graphs-limits/vertical-asymptotes-holes-exercises.html

Example 1. Find all vertical asymptotes and holes for the rational function below. Give both the x and y coordinates for the holes.

## Functions, Graphs, and Limits Vertical Asymptotes vs. Holes - Shmoop

www.shmoop.com/functions-graphs-limits/vertical-asymptotes-holes.html

Both vertical asymptotes and holes are places that the curve can't quite seem to touch. Holes occur at places where the limit of the function exists, but the ...