Question

The graph of a polynomial function has four turning points. What do you know about the degree and local extrema of this polynomial

Answer 1

Given :

The graph of a polynomial function has four turning points.

If there are 'n' turning points of a polynomial , then the least possible degree of polynomial is

`n+1`

The graph of a polynomial function has four turning points.

The least possible degree of this polynomial with 4 turning points is

`4+1=5`