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Rational Functions and Zeros

Alice White

Alice White

6 min read

Study Guide Overview

This study guide covers rational functions and their zeros. Key topics include finding real zeros by factoring the numerator and checking the domain, analyzing the role of zeros as endpoints and asymptotes, and using interval analysis to solve inequalities involving rational functions. The guide also provides practice questions and exam tips focusing on time management and common pitfalls like forgetting to check the domain.

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Question 1 of 7

What are the real zeros of the rational function f(x)=(x−2)(x+3)x−1f(x) = \frac{(x-2)(x+3)}{x-1}?

x = 1

x = 2 and x = -3

x = 2, x = -3 and x = 1

x = -2 and x = 3