Chapter 3 - 3.2 - Polynomial Functions of Higher Degree - 3.2 Exercises - Page 263: 104

See graphs

Let $f(x)$ be the fifth-degree polynomial function that has a zero of multiplicity $2$ and a negative leading coefficient. Let $g(x)$ be the fifth-degree polynomial function that has a zero of multiplicity $2$ and a positive leading coefficient. The graphs of $f(x)$ and $g(x)$ are as shown.