Given $f ( x ) = \frac { x ^ { 2 } - 8 x + 16 } { x - 1 }$

question 48

Multiple Choice

Given $f ( x ) = \frac { x ^ { 2 } - 8 x + 16 } { x - 1 }$ , determine the equations of any slant and vertical asymptote.

• A)slant: \(y = x + 3\) ; vertical: \(x = 0\)
• B)slant: \(y = x - 1\) ; vertical: \(x = - 3\)
• C)slant: \(y = x + 3\) ; vertical: \(x = - 3\)
• D)slant: \(y = x - 7\) ; vertical: \(x = 1\)
• E)slant: \(y = x - 7\) ; vertical: none

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Definitions:

Robert K. Merton

An American sociologist known for developing theories such as the self-fulfilling prophecy, strain theory, and the roles of social structure in scientific knowledge.

Systems Theory

An interdisciplinary theory about the nature of complex systems in nature, society, and science, which suggests that entities can be understood as cohesive wholes.

Structural-Functionalism

From a sociological standpoint, this perspective considers society as a sophisticated entity where its elements are interconnected, working collectively to ensure cohesion and balance.

Functional Explanation

An explanation based on the role or function that a particular event, behavior, or phenomenon serves within a larger system.