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:

Sensitive Period

A specific time frame in development when an organism is more receptive to certain stimuli and able to acquire new skills or abilities more easily.

Critical Period

A critical period is a specific time in an organism's life span when it is particularly sensitive to certain environmental stimuli, and the absence or presence of these stimuli can have irreversible effects on development.

Guided Participation

A teaching and learning approach where an experienced mentor actively engages with the learner in shared activities, offering support and guidance to enhance learning.

Zone of Proximal Development

A concept in educational theory referring to the difference between what a learner can do without help and what they can achieve with guidance and encouragement from a skilled partner.