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:

Empathetic Listening

The skill of understanding and sharing the feelings of another person by fully concentrating on their words and emotional expressions.

Clarifying

The process of making a statement or situation less confused and more comprehensible.

70/30 Principle

A guideline suggesting that effective communication should involve roughly 70% listening and 30% talking.

Active Listeners

Individuals who make a conscious effort to hear not only the words that another person is saying but, more importantly, to understand the complete message being communicated.