Solution:
Given:
A function with degree 8.
Any polynomial function of degree n has at most n−1 local extrema.
[tex]undefined[/tex]
This is because to get extreme points of a function, we differentiate and when we differentiate a function of degree 8, the resulting function will be of degree 7.
Therefore, a function of degree 8 could have at most 7 number of extrema.