For the following function f(x), determine whether there is an asymptote at x = a. Justify your answer without graphing on a calculator. x + 1 f(x) = a = -1 x + 7x + 6 O Yes, there is an asymptote at x = -1. O No, the function does not have any asymptotes. O No, there is an asymptote at f(x) = -1. O No, there is a removable discontinuity at x = -1. O No, there is an asymptote at a different x-value.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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For the following function f(x), determine whether there is an asymptote at x = a. Justify your answer without graphing on a calculator.
x + 1
f(x)
a = -1
x + 7x + 6
Yes, there is an asymptote at x = -1.
No, the function does not have any asymptotes.
No, there is an asymptote at f(x)
= -1.
No, there is a removable discontinuity at x = -1.
No, there is an asymptote at a different x-value.
Additional Materials
Transcribed Image Text:For the following function f(x), determine whether there is an asymptote at x = a. Justify your answer without graphing on a calculator. x + 1 f(x) a = -1 x + 7x + 6 Yes, there is an asymptote at x = -1. No, the function does not have any asymptotes. No, there is an asymptote at f(x) = -1. No, there is a removable discontinuity at x = -1. No, there is an asymptote at a different x-value. Additional Materials
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