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Find All Asymptotes (Including Vertical, Horizontal, and Slant) of the Function

Question 44

Multiple Choice

Find all asymptotes (including vertical, horizontal, and slant) of the function y=3x+2x22x+1y = \frac { 3 x + 2 } { x ^ { 2 } - 2 x + 1 } .


A) No asymptote
B) Horizontal:
y=0y = 0 ; vertical:
x=52x = \frac { 5 } { 2 }
C) Horizontal:
y=2y = 2 ; vertical:
x=52x = \frac { 5 } { 2 }
D) Horizontal:
y=0y = 0 ; vertical:
x=1x = 1
E) Horizontal:
y=±1y = \pm 1 ; vertical:
x=1x = - 1

Correct Answer:

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