College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 3 - Section 3.4 - Library of Functions; Piecewise-defined Function - 3.4 Assess Your Understanding - Page 244: 23

Answer

Refer to the graph below.
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Work Step by Step

When $x=0$, the given function is undefined (because division of zero is not allowed). This means that the function has a vertical asymptote of $x=0$. The value of $f(x)$ will never be zero so its horizontal asymptote is $y=0$. Create a table of values to obtain the ones in the table below. Then, plot each ordered pair and connect the points using a smooth curve. Take note that the graph has $x=0$ and $y=0$ as asymptotes. (Refer to the graph above.)
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