robert7248
robert7248 robert7248
  • 03-05-2019
  • Mathematics
contestada

What is the maximum number of turns in the graph of this function?

[tex]f(x) = x^4-x^3+3x+1[/tex]

Respuesta :

kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 03-05-2019

Answer:

The maximum number of turns is 3

Step-by-step explanation:

The given function is

[tex]f(x)=x^4-x^3+3x+1[/tex]

The degree of this polynomial is 4.

If the degree of a given polynomial is n, then the polynomial has at least n-1 turns.

Therefore the number of turns of this 4th degree polynomial is at least 3.

Answer Link

Otras preguntas

Describe how the changing species concept has affected classification systems
What are 4 features found olny in eukaryotic?
Who established the Church of England as the official church of the country?
you are falling off the edge.. What should you do to avoid falling..
Which was a result of the Potsdam Conference? a. Churchill called for an immediate end to hostilities against Japan. b. The Allies called for Japan's immediat
The government of Kenya and South Africa could BOTH be described as
can you please help me solve this ,whats p+4 < -24 ???
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!100 POINTS!!!!!!!!!!!!!!!!!!!!!!!!How is the Earth like a melting ice cream? The answer has to do with climate change and g
Which of the following has made flooding worse in the koreas a. Lack of tree cover *** b. Lack of crops c. Too many droughts d. Too many dams
Which statement about the Pacific Theater in World War II is true? a. Navajo Indians in the U.S. Marine Corps developed an unbreakable code using their native