Consider the function f(x)=8+3x2x2,1.5x4\displaystyle {f{{\left({x}\right)}}}={8}+{3}{x}-{2}{x}^{{2}},\quad{1.5}\leq{x}\leq{4}.

The absolute maximum occurs at x\displaystyle {x} =  

The absolute minimum occurs at x\displaystyle {x} =  

8\displaystyle {8} and 12\displaystyle -{12}