Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 3 - Section 3.6 - Rational Functions - 3.6 Exercises - Page 308: 30

Answer

Vertical Asymptote: $y=2$ x-intercepts: $(-2,0),(2,0)$ y-intercept: $(0,-6)$

Work Step by Step

There is no horizontal asymptote as the function branches off in both directions, however, the vertical asymptote (the line never crossed) is in the blue. And concerning the intercepts, there are two points where y is zero, thus the two x-intercepts. And as for your y-intercept, there is one point where x is zero, thus the one y-intercept.
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