Find the Exponential Function That Models the Data in the Table

Multiple Choice

Find the exponential function that models the data in the table below. $\begin{array}{l|l}x & f(x) \\\hline-2 & 9 \\-1 & 13.5 \\0 & 20.25 \\1 & 30.375 \\2 & 45.5625\end{array}$

A) $f ( x ) = 9 \cdot 0.5 ^ { x }$
B) $f ( x ) = 13.5 \cdot 1.5 ^ { x }$
C) $f ( x ) = 20.25 \cdot 1.5 ^ { x }$
D) $f ( x ) = 20.25 \cdot 1.33 ^ { x }$