Consider the Function $f ( x ) = e ^ { - ( x - 8 ) ^ { 2 } / 7 }$

Multiple Choice

Consider the function $f ( x ) = e ^ { - ( x - 8 ) ^ { 2 } / 7 }$ . For what value of x does this function attain its maximum value, and what is the maximum function value? Round maximum function value to two decimal places, if necessary.

A) $x = \frac { 8 } { 7 } , f \left( \frac { 8 } { 7 } \right) \approx 0.00$
B) x = 8, f (8) = 1
C) $x = \frac { 4 } { 7 } , f \left( \frac { 4 } { 7 } \right) \approx 0.00$
D) There is no maximum.