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


Refer to the graph below.

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.)
Small 1562255084
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.