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

question 21

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

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