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

Maximum number of turns: 3

Step-by-step explanation:

1. By definition, a polynomial of degree, has a maximum turning points of:

 .

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:

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

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