Determine $f ( x )$ From the Table $\begin{array}{|r|c|}\hline x & f(x) \\\hline-1 & 20.0855 \\\hline 0 & 1 \\\hline 1 & 0.0498 \\\hline 2 & 0.0025 \\\hline\end{array}$

question 99

Multiple Choice

Determine $f ( x )$ from the table.
The values from the table are given to the nearest ten thousandth. Select the correct answer.
$\begin{array}{|r|c|}\hline x & f(x) \\\hline-1 & 20.0855 \\\hline 0 & 1 \\\hline 1 & 0.0498 \\\hline 2 & 0.0025 \\\hline\end{array}$

• A) \(f ( x ) = e ^ { 3 x }\)
• B) \(f ( x ) = e ^ { - 3 x }\)
• C) \(f ( x ) = 3 x ^ { - 3 }\)
• D) \(f ( x ) = x e ^ { - 3 }\)
• E) \(f ( x ) = x ^ { - 3 }\)

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Definitions:

Relative Motion

The calculation of the motion of an object with regard to some other moving or stationary object.

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A set of theorists in psychology who propose that psychological phenomena should be viewed as organized, structured wholes - a perspective focusing on the entirety of mind and behavior patterns.

Immanuel Kant

An influential German philosopher in the 18th century known for his work in epistemology, ethics, and aesthetics.

John Locke

A 17th-century English philosopher who is considered one of the first of the British empiricists; known for his theories of mind, knowledge, and politics.