Provide an Appropriate Response $f ( x ) = a ^ { x }$

Multiple Choice

Provide an appropriate response.
-Give an equation of the form $f ( x ) = a ^ { x }$ to define the exponential function whose graph contains the point $\left( 4 , \frac { 1 } { 4096 } \right)$ . Assume that $a > 0$ .

A) $f ( x ) = \left( \frac { 1 } { 4 } \right) ^ { x }$
B) $f ( x ) = 4 ^ { x }$
C) $f ( x ) = 8 ^ { x }$
D) $f ( x ) = \left( \frac { 1 } { 8 } \right) ^ { x }$