College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 3, Polynomial and Rational Functions - Section 3.6 - Rational Functions - 3.6 Exercises - Page 344: 27

Answer

x-intercept: $\qquad 3$ y-intercept: $\qquad 3$ Vertical asymptote: $\qquad x=2$ Horizontal asymptote: $\qquad y=2$

Work Step by Step

The graph crosses the x-axis at (3,0) x-intercept: $3$ The graph crosses the y-axis at (0,3) y-intercept: $3$ The vertical dashed line where the function is undefined, and the graph rises/falls without bound on either side, is $x=2$ (the vertical asymptote). The horizontal dashed line, which the graph approaches when $x\rightarrow\pm\infty,$ is $y=2$ (the horizontal asymptote).
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