Find the Exponential Function That Models the Data in the Table

question 134

Multiple Choice

Find the exponential function that models the data in the table below. $\begin{array}{l|l}x & f(x) \\\hline-2 & -45 \\-1 & -27 \\0 & -16.2 \\1 & -9.72 \\2 & -5.832\end{array}$

• A) \(f ( x ) = - 45 \cdot 0.6 ^ { x }\)
• B) \(f ( x ) = - 16.2 \cdot 0.6 ^ { x }\)
• C) \(f ( x ) = 16.2 \cdot 1.4 ^ { x }\)
• D) \(f ( x ) = - 27 \cdot 1.6 ^ { x }\)

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Definitions:

Specific Performance Objectives

Clearly defined targets or goals that an individual or team strives to achieve within a set timeframe.

Collective Intelligence

The enhanced intellectual capacity and problem-solving ability that emerges from the collaboration, collective efforts, and competition of many individuals.

Social Sensitivity

The ability to perceive, understand, and respect the feelings, thoughts, and situation of others, leading to more effective interpersonal interactions.

Information Overload

The condition of receiving more information than can be processed, leading to difficulty in understanding or decision-making.