Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 3 - Polynomial and Rational Functions - Section 3.4 Properties of Rational Functions - 3.4 Assess Your Understanding - Page 241: 52

Answer

O.A. $y=2x+7$

Work Step by Step

Given $y=\frac{8x^2+26x-7}{4x-1}=\frac{(4x-1)(2x+7)}{4x-1}=2x+7, x\ne\frac{1}{4}$, we can find its vertical asymptote(s) V.A. $none$, horizontal asymptote(s) H.A. $none$, oblique asymptote(s) O.A. $y=2x+7$ (the graph of the function is actually identical to this line except for a hole).
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