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

"For a heartbeat or two, Titus looked as if he might hit you. Grudgingly, he agreed to bring you along, despite your age and his declaration after your parents’
Which of the following was NOT a change that occurred in the economy of Texas after the Civil War? a. Texans stopped planting cotton and began to plant wheat in
What’s the theme of feathered friend by Arthur Clarke
The ___________________is the cloud of gas and dust from which our solar system formed.
Which of the following best explains why Delia doesn’t assist Sykes? After all that Sykes has done, she feels no pity for him. In spite of Sykes’ piteous state,
Once you select select a crop boundary, you can nolonger change the area that you want to crop.TrueOrFalse​
Which of the following statements about social media is true
F(x)=x^3+x^2-x-1 identify its relative maximum and minimum
Complete parts ​(a) through ​(c) below. ​(a) Determine the critical​ value(s) for a​ right-tailed test of a population mean at the alpha equals0.10 level of sig
12% present of 50 is (a)3 (b) 6 (c) 9