Consider the polynomial function f(r)=4r7+r63r8+5r44r3+9r5\displaystyle {f{{\left({r}\right)}}}={4}{r}^{{7}}+{r}^{{6}}-{3}{r}^{{8}}+{5}{r}^{{4}}-{4}{r}^{{3}}+{9}{r}^{{5}}.

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

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