Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 8 Rational Functions - 8.2 Graph Simple Rational Functions - 8.2 Exercises - Skill Practice - Page 561: 21


The graph is attached.

Work Step by Step

First, we see that this problem is in the form $y=\frac{a}{x-h}+k$. Thus, we use the shape of $\frac{1}{x}$ and the value of $a$ to create the graph. $h$ and $k$ determine how the graph is shifted. Looking at the asymptotes, we see that the domain is all real numbers except 4 and the range is all real numbers except -1.
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