Given $f ( x ) = 16 - x ^ { 2 }$ , find a number c on the interval (0, 4) such that f(c) is the average value of f on [0, 4].

Name: Given $f ( x ) = 16 - x ^ { 2 }$ , find a number c on the interval (0, 4) such that f(c) is the average value of f on [0, 4].
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The Answer of Given $f ( x ) = 16 - x ^ { 2 }$ , find a number c on the interval (0, 4) such that f(c) is the average value of f on [0, 4].

Given f(x)=16−x2f ( x ) = 16 - x ^ { 2 }f(x)=16−x2

Given $f ( x ) = 16 - x ^ { 2 }$