Question

What is the maximum number of turns in the graph of this function? F(x)=x^4-x^3 3x 1

Answer 1

Maximum number of turns: 3

Explanation:

1. By definition, a polynomial of
`n` degree, has a maximum turning points of
`n-1`.

2. Therefore, if you have the polynomial given in the problem, which is a polynomial of degree 4. The maximum number of turns can be obtained as following:

`n=4\\n-1=4-1=3`

3. Therefore, you can conclude that the maximum number of turns are 3.