Question: Show that the function f(x)=4x2+4 has anabsolute maximum but not anabsolute minimum.f(x)=4x2+4>0 for all xinR. Since limx4x2+4=,x,f does not take onanabsolute minimum.Since x2+44,it follows that

Show that the function f(x)=4x2+4 has anabsolute maximum but not anabsolute minimum.f(x)=4x2+4>0 for all xinR. Since limx4x2+4=,x,f does not take onanabsolute minimum.Since x2+44,it follows that f(x)=4x2+401.f(0)=,Your answer cannot be understood or graded. More Information and that is the absolute maximum.

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