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: 31


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

Work Step by Step

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