Answer
See graph, hole at $x=1$, asymptote at $x=-\sqrt[3] 2$.
Work Step by Step
1. See graph for $R(x)=\frac{x^3-x^2+x-1}{x^4-x^3+2x-2}$
2. We can confirm a hole at $x=1$ and an asymptote at $x=-\sqrt[3] 2$.
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 13 - A Preview of Calculus: The Limit, Derivative, and Integral of a Function - Section 13.3 One-sided Limits; Continuous Functions - 13.3 Assess Your Understanding - Page 910: 83
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