Consider the Function $f ( x ) = e ^ { - ( x - 6 ) ^ { 2 } / 5 }$

Multiple Choice

Consider the function $f ( x ) = e ^ { - ( x - 6 ) ^ { 2 } / 5 }$ .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 = 6,f (6) = 1
B) $x = \frac { 3 } { 5 }$ , $f \left( \frac { 3 } { 5 } \right)$ $\approx$ 0.00
C) There is no maximum.
D) $x = \frac { 6 } { 5 }$ , $f \left( \frac { 6 } { 5 } \right)$ $\approx$ 0.01