Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 9 - Sequences and Series - 9-3 Geometric Sequences - Practice and Problem-Solving Exercises - Page 586: 76

Answer

There is a vertical asymptote at $x = -1$. There are no holes in the graph.

Work Step by Step

Vertical asymptotes occur where the denominator becomes undefined, which means where the denominator equals $0$. To find vertical asymptotes, set each factor in the denominator equal to $0$: $x + 1 = 0$ Subtract $1$ from each side of the equation: $x = -1$ There is a vertical asymptote at $x = -1$. Holes in the graph occur where the same factor occurs in both the numerator and denominator. In this exercise, there are no factors that are the same in the numerator and denominator; therefore, there are no holes in the graph.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

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.