Find the Extrema of the Function $f ( x ) = \frac { 1 } { 3 - e ^ { - x } }$

Multiple Choice

Find the extrema of the function $f ( x ) = \frac { 1 } { 3 - e ^ { - x } }$ by analyzing its graph below.

A) (0, 1)
B) no relative extrema
C) $\left( 3 , e ^ { 3 } \right)$ , (0, 0)
D) $( 1,3 ) , \left( 3 , e ^ { - 3 } \right)$
E) $\left( 3 , e ^ { - 3 } \right)$