Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 3 - Polynomial and Rational Functions - Chapter 3 Test Prep - Review Exercises - Page 401: 81

Answer

(a) See graph. (b) $f(x)=\frac{(x-2)(x-4)}{(x-3)^2}$

Work Step by Step

(a) See graph. (b) As there are two x-intercepts, the numerator is a quadratic or above. As $y=1$ is the horizontal asymptote, the denominator should have the same power as the numerator. Thus, we can write a possible rational function as $f(x)=\frac{(x-2)(x-4)}{(x-3)^2}$
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