Given $f ( x ) = ( x + 1 ) ^ { 2 } - 2$ , find a number c on the interval (-3, 0) such that f(c) is the average value of f on [-3, 0].

Name: Given $f ( x ) = ( x + 1 ) ^ { 2 } - 2$ , find a number c on the interval (-3, 0) such that f(c) is the average value of f on [-3, 0].
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The Answer of Given $f ( x ) = ( x + 1 ) ^ { 2 } - 2$ , find a number c on the interval (-3, 0) such that f(c) is the average value of f on [-3, 0].

Given f(x)=(x+1)2−2f ( x ) = ( x + 1 ) ^ { 2 } - 2f(x)=(x+1)2−2

Given $f ( x ) = ( x + 1 ) ^ { 2 } - 2$