Find the Domain of the Function and Identify Any Vertical $$f ( x ) = \frac { 9 } { ( x - 3 ) ^ { 3 } }$$

question 72

Multiple Choice

Find the domain of the function and identify any vertical and horizontal asymptotes.​ $$f ( x ) = \frac { 9 } { ( x - 3 ) ^ { 3 } }$$ ​

• A)Domain: all real numbers x Vertical asymptote: x = 0
• Horizontal asymptote: y = 0
• B)Domain: all real numbers x except x = 9 Vertical asymptote: x = 0
• Horizontal asymptote: y = 0
• C)Domain: all real numbers x except x = 3 Vertical asymptote: x = 0
• Horizontal asymptote: y = 9
• D)Domain: all real numbers x Vertical asymptote: x = 0
• Horizontal asymptote: y = 9
• E)Domain: all real numbers x except x = 3 Vertical asymptote: x = 3
• Horizontal asymptote: y = 0

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Definitions:

Stereotype Inconsistent

Information or behavior that contradicts common stereotypes or generalizations about a group.

Prototype

An early sample or model of a product used to test a concept or process or to act as a thing to be replicated or learned from.

Cognitive Representation

The way in which knowledge and ideas are mentally structured and stored, influencing perception and understanding.

Central

Being at or forming the centre, often considered the most important part or aspect.