Determine the Critical Numbers of the Given Function and Classify $f ( x ) = \frac { 1 } { x ^ { 2 } - 8 x + 7 }$

Multiple Choice

Determine the critical numbers of the given function and classify each critical point as a relative maximum,a relative minimum,or neither.Round numbers to two decimal places,if necessary. $f ( x ) = \frac { 1 } { x ^ { 2 } - 8 x + 7 }$

A) x = 1,4,7; (1,1) relative maximum; (4,-0.11) relative minimum;(7,1) relative maximum
B) x = 1,7; (1,1) relative maximum; (7,1) relative maximum
C) x = 1,7; (1,1) relative maximum; (7,1) relative minimum
D) x = 1,4,7; (4,-0.11) relative maximum