Consider the function f(x)=2x3+24x2120x+9,10x3\displaystyle {f{{\left({x}\right)}}}={2}{x}^{{3}}+{24}{x}^{{2}}-{120}{x}+{9},\quad-{10}\leq{x}\leq{3}.

This function has an absolute minimum value equal to  

and an absolute maximum value equal to