Consider the polynomial function f(p)=p5+5p42p25\displaystyle {f{{\left({p}\right)}}}=-{p}^{{5}}+{5}{p}^{{4}}-{2}{p}^{{2}}-{5}.

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

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