Find the Exact Location of All the Relative and Absolute $f ( x ) = \frac { x ^ { 2 } + 81 } { x ^ { 2 } - 81 } ; - 86 \leq x \leq 86 , x \neq \pm 9$

Multiple Choice

Find the exact location of all the relative and absolute extrema of the function. $f ( x ) = \frac { x ^ { 2 } + 81 } { x ^ { 2 } - 81 } ; - 86 \leq x \leq 86 , x \neq \pm 9$

A) $( 0 , - 81 )$ - absolute minimum
B) $( 0 , - 1 )$ - relative minimum
C) $( 0 , - 1 )$ - absolute maximum
D) $( 0,81 )$ - absolute maximum
E) $( 0 , - 1 )$ - relative maximum