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

Who were the Nazis ?
Two 1 litre jugs are each filled with a mixture of olive oil and vinegar. The first jug has 3 times as much as oil as vinegar and the second jug has 4 times as
conversation between Hitler and gandhi
How many eighths are there in 4 1/4
The dimensions of a brick that weighs 25 N are 0.19 m × 0.07 m × 0.095 m. What pressure does the brick exert on the ground if it is resting on its largest face?
How many eighths are there in 4 1/4
The Radius of a sphere is 5 feet. find the area of the great circle of this sphere
How consumers behaviour affect market equilibrium
what is the cause and effect for the french citizens armies win their revolution for liberty and equality
Buck drove 220 miles in 5 hours. What was his average rate of speed?