Provide an Appropriate Response $$f ( x ) = \frac { - 4 } { ( x - 8 ) ^ { 2 } }$$

question 233

Multiple Choice

Provide an appropriate response.
-Explain the behavior of the graph of f(x) as it approaches its vertical asymptote. $$f ( x ) = \frac { - 4 } { ( x - 8 ) ^ { 2 } }$$

• A) Approaches \(- \infty\) from the left and the right
• B) Approaches \(\infty\) from the left, approaches \(- \infty\) from the right
• C) Approaches \(\infty\) from the left and the right
• D) Approaches \(- \infty\) from the left, approaches \(\infty\) from the right

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Definitions:

Object Permanence

The understanding that objects continue to exist even when they cannot be seen, heard, or touched, typically developed during infancy.

Secondary Circular Reactions

Repetitive actions in infants aged 4-8 months, centered around the infant's own body, demonstrating the beginning of intentionality.

Primary Circular Reactions

A concept in child development where an infant learns to reproduce an event that initially occurred by accident (e.g., sucking their thumb).

Centration

A cognitive limitation in early childhood, where a child focuses on one aspect of a situation while ignoring others.