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 $y = \frac { 3 x + 2 } { x ^ { 2 } - 2 x + 1 }$ .

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

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