Model the Data Using an Exponential Function $f ( x ) = A b ^ { x }$

Multiple Choice

Model the data using an exponential function $f ( x ) = A b ^ { x }$ . $$\begin{array} { | l | l | l | l | } \hline \boldsymbol { x } & 0 & 1 & 2 \\\hline \boldsymbol { f } ( \boldsymbol { x } ) & 40 & 80 & 160 \\\hline\end{array}$$ Select the correct answer.

A) $f ( x ) = 40 ( 2 ) ^ { x }$
B) $f ( x ) = 40 ( 2 ) ^ { - x }$
C) $f ( x ) = 2 ( 40 ) ^ { - x }$
D) $f ( x ) = 2 ( 2 ) ^ { x }$
E) $f ( x ) = 40 ( 40 ) ^ { x }$