Find the Power Function That the Graph of F Resembles $$f ( x ) = ( x + 12 ) ^ { 6 } ( x - 3 ) ^ { 3 }$$

question 183

Multiple Choice

Find the power function that the graph of f resembles for large values of |x|.
- $$f ( x ) = ( x + 12 ) ^ { 6 } ( x - 3 ) ^ { 3 }$$

• A) \(y = x ^ { 6 }\)
• B) \(y = x ^ { 3 }\)
• C) \(y = x ^ { 18 }\)
• D) \(y = x ^ { 9 }\)

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Definitions:

Appraisal

The process of evaluating and interpreting environmental stimuli, which plays a significant role in emotional responses and decision making.

Emotional Condition

The state of one's emotions or mood at a particular time, which can influence behavior and cognition.

Cognition

refers to mental processes, including perception, memory, thought, judgment, and decision-making, through which individuals understand and interact with the world.

Evolutionarily Adaptive

A feature or behavior that enhances survival and reproduction across generations, shaped by natural selection.