College Algebra (6th Edition)

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

Chapter 3 - Polynomial and Rational Functions - Exercise Set 3.5 - Page 407: 54

Answer

please see image .

Work Step by Step

(Work done in online calculator desmos.com) Let $f(x)=\displaystyle \frac{1}{x^{2}}$ (graph: blue, dashed) $h(x)=\displaystyle \frac{1}{x^{2}}-3=f(x)-3$ So, the graph of h (red, solid line) is obtained by shifting the graph of $f(x)=\displaystyle \frac{1}{x^{2}}$ down by $3$ units. (the horizontal asymptote also shifts)
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