Vertical Asymptote or Removable Discontinuity In Exercises 33-36, determine whether the graph of the function has a vertical asymptote or a removable discontinuity at x = -1. Graph the function using a graphing utility to confirm your answer. 34. f(r) – H 2x – 8 x +1 33. f(x) x + 1 35. f(x) x² + 1 36. f(x) In(x + 1) x + 1 x + 1

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Rational Functions And Conics
Section4.2: Graphs Of Rational Functions
Problem 79E
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solve number 36 only according to the instruction
Vertical Asymptote or Removable Discontinuity In
Exercises 33-36, determine whether the graph of the function
has a vertical asymptote or a removable discontinuity atx = -1.
Graph the function using a graphing utility to confirm your
answer.
2x - 8
33. f(x)
34. f(x)
x+ 1
x + 1
35. f(x)
x² + 1
36. f(x)
In(x + 1)
x + 1
x + 1
es
Finding a One-Sided Limit In Exercises 37-54, find the
one-sided limit (if it exists).
e.
Transcribed Image Text:Vertical Asymptote or Removable Discontinuity In Exercises 33-36, determine whether the graph of the function has a vertical asymptote or a removable discontinuity atx = -1. Graph the function using a graphing utility to confirm your answer. 2x - 8 33. f(x) 34. f(x) x+ 1 x + 1 35. f(x) x² + 1 36. f(x) In(x + 1) x + 1 x + 1 es Finding a One-Sided Limit In Exercises 37-54, find the one-sided limit (if it exists). e.
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