Find the Exponential Function That Models the Data in the Table

question 244

Multiple Choice

Find the exponential function that models the data in the table below. $\begin{array}{l|r}\mathrm{x} & \mathrm{f}(\mathrm{x}) \\\hline-2 & 22 \\-1 & 15.4 \\0 & 10.78 \\1 & 7.546 \\2 & 5.2822\end{array}$

• A) \(f ( x ) = 10.78 \cdot 1.3 ^ { x }\)
• B) \(f ( x ) = 22 \cdot 0.7 ^ { x }\)
• C) \(f ( x ) = 15.4 \cdot 1.7 ^ { x }\)
• D) \(f ( x ) = 10.78 \cdot 0.7 ^ { x }\)

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Definitions:

Temporal Lobes

Regions of the cerebral cortex located at the sides of the brain, involved in processing auditory information and encoding memory.

Cerebral Cortex

The outer layer of the brain's cerebrum, involved in complex brain functions such as thought, memory, and consciousness.

Limbic System

A complex system of nerves and networks in the brain, involved in instinct and mood control, governing emotional behavior.

Implicit Memory

A type of memory that enables individuals to perform tasks without conscious awareness of these previous experiences.