Graph each of the following functions:y = (x2 - 1) / (x - 1 ) y = (x3 - 1)/(x - 1) y = (x4 - 1)/(x - 1) y = (x5 - 1)/(x - 1) Is x = 1 a vertical asymptote? Why not? What is happening forx = 1? What do you conjecture about y = xn - 1/(x - 1) , n ≥ 1 an integer, for x = 1?

Graph each of the following functions:y = (x2 - 1) / (x - 1 ) y = (x3 - 1)/(x - 1) y = (x4 - 1)/(x - 1) y = (x5 - 1)/(x - 1) Is x = 1 a vertical asymptote? Why not? What is happening forx = 1? What do you conjecture about y = xn - 1/(x - 1) , n ≥ 1 an integer, for x = 1?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 7E

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Question

Graph each of the following functions:
y = (x² - 1) / (x - 1 ) y = (x³ - 1)/(x - 1)

y = (x⁴ - 1)/(x - 1) y = (x⁵ - 1)/(x - 1)

Is x = 1 a vertical asymptote? Why not? What is happening for
x = 1? What do you conjecture about y = xⁿ - 1/(x - 1) , n ≥ 1 an integer, for x = 1?

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