Use the following online training on the behavior of polynomial functions at KhanAcademy.
Use the following online training on the behavior of polynomial functions at KhanAcademy.
The following interactive GeoGebra file illustrates the point symmetry of a fifth-degree polynomial function. Use the slider!
For point-symmetric functions, the function values at x = a and x = -a coincide except for a different sign:
f(a) = -f(-a)