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 64

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:

Oil

A natural fossil fuel that is used primarily for energy production and as a raw material in manufacturing.

Demand

The quantity of a good or service that consumers are willing and able to purchase at various prices during a given period.

Compound Return

It refers to the phenomenon where the interest earned on an investment is reinvested to earn additional interest, leading to exponential growth over time.

Inflation

The rate at which the general level of prices for goods and services is rising, eroding purchasing power.