Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 9 - Section 9.2 - The Hyperbola - Exercise Set - Page 984: 89


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Work Step by Step

From $c^2=a^2+b^2$, dividing both sides by $a^2$, we have $\frac{c^2}{a^2}=1+\frac{b^2}{a^2}$. When $\frac{c}{a}\to\infty$, we have $\frac{b}{a}\to\infty$. Thus the slope of the asymptote will be $\frac{b}{a}\to\infty$, indicating nearly vertical asymptotes and hyperbola branches.
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