# 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: $y=\frac{-1}{2}=-\frac{1}{2}$

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.