College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 3 - Summary, Review, and Test - Review Exercises - Page 437: 67

Answer

(a) $y_{asymptote} = 0$ (b) The greater amount of years $x$ of education a person has, the lower the percentage of this population that is unemployed.

Work Step by Step

To find the horizontal asymptote of this function, we must first look at the degree of the function in the numerator and the denominator. We see that the numerator is a constant, which means that its degree is $0$. For the denominator, we see that the highest exponent for $x$ is $2$, i.e., this is its degree. We can conclude that the denominator's degree is $greater$ $than$ the numerator's degree, and as such, the horizontal asymptote is $$y = 0$$ What does this mean? That, as $x→∞$, the percentage of peope with education who are unemployed reaches $0$. What can we conclude from this? That the greater the years $x$ of education people have, the lower the percentage of said population who is unemployed.
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