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

A mnemonic is a tool that you can use when you are studying to help you do which of the following? a. remember lists or large amounts of information more easily
Solve the equation t/4 = 16
Do you agree with the quote "the world would be a dull place without music"? can u please explain to me in at least 5 sentences why?
What is a characteristic of maps of very large areas?
one eighth the sum of 23 and 17
Tomas makes balloon sculptures at a circus in 180 minutes he uses 252 balloons to make 36 identical balloon sculptures how many minutes does it take to make one
In which region of the African continent is the Niger River located? A. West Africa B. North Africa C. East Africa D. Southern Africa
Which best describes a centromere?
How long would it take 2.0x10^20 electrons to pass through a point in a conductor if the current was 10.0A?
40 girls and boys have planned for annual function. They are in a ratio of 2 girls to 6 boys. How many boys are there?