Question 1051192
Graphing it, 
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*[illustration FC16.JPG].
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We see the max occurs in the interval and the min occurs at the right endpoint,
{{{y[min]=-(1/2)(2)^2-4(2)+4}}}
{{{y[min]=-2-8+4}}}
{{{y[min]=-6}}}
So the range is [-6,12].