Find the Exponential Function That Models the Data in the Table

question 118

Multiple Choice

Find the exponential function that models the data in the table below. Round the coefficients to the nearest hundredth. $\begin{array}{c|c|c|c|c|c}\mathrm{x} & 1 & 2 & 3 & 4 & 5 \\\hline \mathrm{y} & 4.0 & 4.8 & 6.2 & 7.8 & 9.9\end{array}$

• A) \(f ( x ) = \frac { 3.95 } { 1 + 510.08 e ^ { - 2 x } }\)
• B) \(f ( x ) = 3.11 ( 1.26 ) ^ { x }\)
• C) \(f ( x ) = \frac { 3.95 } { 1 + 511.07 e ^ { - 2 x } } + 4.45\)
• D) \(f ( x ) = 3.33 ( 1.20 ) ^ { x }\)

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