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  3. AP Pre-Calculus
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Rational Functions and Holes

Alice White

Alice White

7 min read

Next Topic - Equivalent Representations of Polynomial and Rational Expressions
Study Guide Overview

This study guide covers rational functions and holes, focusing on identifying and calculating hole coordinates. Key concepts include factoring, canceling common factors, and evaluating limits related to holes. The guide also connects holes to limits, emphasizing how to find the x and y coordinates of a hole. Examples, practice questions, and exam tips are provided to reinforce learning.

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Previous Topic - Rational Functions and Vertical AsymptotesNext Topic - Equivalent Representations of Polynomial and Rational Expressions

Question 1 of 7

Which of the following rational functions has a hole? 🧐

f(x)=x+2x+3f(x) = \frac{x+2}{x+3}f(x)=x+3x+2​

g(x)=x2−4x+2g(x) = \frac{x^2 - 4}{x+2}g(x)=x+2x2−4​

h(x)=x−2x+3h(x) = \frac{x-2}{x+3}h(x)=x+3x−2​

k(x)=x2+4x−2k(x) = \frac{x^2 + 4}{x-2}k(x)=x−2x2+4​