Write the Word or Phrase That Best Completes Each Statement $y = \frac { ( x + 1 ) ( x - 4 ) ^ { 2 } } { ( x - 2 ) 2 ( x - 6 ) }$

question 252

Multiple Choice

Write the word or phrase that best completes each statement or answers the question.
-Which of the following functions could have this graph?

• A) \(y = \frac { ( x + 1 ) ( x - 4 ) ^ { 2 } } { ( x - 2 ) 2 ( x - 6 ) }\)
• B) \(y = \frac { 2 ( x - 2 ) ^ { 2 } ( x - 6 ) } { ( x + 1 ) ( x - 4 ) ^ { 2 } }\)
• C) \(y = \frac { ( x - 2 ) ( x - 6 ) ^ { 2 } } { ( x + 1 ) 2 ( x - 4 ) }\)
• D) \(y = \frac { ( x - 2 ) ^ { 2 } ( x - 6 ) } { ( x + 1 ) ( x - 4 ) ^ { 2 } }\)

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Definitions:

Commensalism

A symbiotic relationship between two organisms where one benefits without harming or helping the other.

Co-operation

Working together towards common goals or mutual benefits, often involving sharing resources or coordinating efforts.

Competition

A biological interaction where individuals or species vie for the same resources, such as food or space, in an ecosystem.

Predation

The biological interaction where one organism, the predator, hunts and consumes another organism, the prey, as a means of obtaining energy and nutrients.