Consider the polynomial function f(t)=6+2t6+t96t\displaystyle {f{{\left({t}\right)}}}={6}+{2}{t}^{{6}}+{t}^{{9}}-{6}{t}.

As   t\displaystyle {t}\to-\infty,   f(t)\displaystyle {f{{\left({t}\right)}}}\to

As   t\displaystyle {t}\to\infty,   f(t)\displaystyle {f{{\left({t}\right)}}}\to