Find the critical number(s) (if any) and test them to determine if $f ( x ) = x ^ { 4 } - 8 x ^ { 2 } + 16$ has a local maximum or local minimum or neither at each critical number.

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The Answer of Find the critical number(s) (if any) and test them to determine if $f ( x ) = x ^ { 4 } - 8 x ^ { 2 } + 16$ has a local maximum or local minimum or neither at each critical number.

Find the Critical Number(s) (If Any) and Test Them to Determine