jayneezink jayneezink
  • 16-01-2019
  • Mathematics
contestada

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

Respuesta :

carlosego
carlosego carlosego
  • 16-01-2019

Answer:

Maximum number of turns: 3


Step-by-step explanation:

1. By definition, a polynomial of [tex]n[/tex] degree, has a maximum turning points of [tex]n-1[/tex].

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:

[tex]n=4\\n-1=4-1=3[/tex]

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


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