Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 4 - 4.1 - Rational Functions and Asymptotes - 4.1 Exercises - Page 315: 32


$f(x)=-\frac{x-1}{2x-4}$ matches the graph labeled (g)

Work Step by Step

The vertical asymptote is: $2x-4=0$ $2x=4$ $x=2$ The x-intercept: $f(x)=-\frac{x-1}{2x-4}=0$. $x-1=0$ $x=1$ The graph passes through $(1,0)$ The degree of the denominator is equal to the degree of the numerator. The horizontal asymptote is the ratio of the leading coefficients: $y=\frac{-1}{2}=-\frac{1}{2}$
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