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:
• \(x = - 1\)

---

Definitions:

Infinite Number

A quantity that is larger than any assignable quantity or countable number.

Gender Development

The process by which individuals develop a gender identity, influenced by biological, social, and cultural factors.

Lifelong Process

A continuous development or progression that spans an individual's entire life.

Social Context

Refers to the immediate physical and social setting in which people live or in which something happens or develops.