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

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. $$f ( x ) = \frac { 2 } { x ^ { 2 } - 8 x + 7 }$$

A) x = 1, 4, 7; (4, -0.22) relative maximum
B) x = 1, 4, 7; (1, 2) relative maximum; (4, -0.22) relative minimum; (7, 2) relative maximum
C) x = 1, 7; (1, 2) relative maximum; (7, 2) relative maximum
D) x = 1, 7; (1, 2) relative maximum; (7, 2) relative minimum