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) \(f ( x ) = - 27 \cdot 1.6 ^ { x }\)

---

Definitions:

Ergs

A unit of energy in the centimeter-gram-second (CGS) system, used to measure the amount of work or energy.

Proprium

Encompasses all aspects of an individual's self or identity as defined by psychologist Gordon Allport.

Self

The individual's perception of their identity, including traits, beliefs, and personal history, forming the basis of one's personality and self-concept.

Allport

Gordon Allport was a pioneering psychologist known for his theory of personality traits, emphasizing the uniqueness of the individual and the importance of the present context for understanding behavior.