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

Why was Maryland established as a colony?​
when it comes to finding the common denominator, do I add or subtract it to the denominator ​
A used bookstore sells hardback books and paperback books.A hardback book costs $11, including tax.A paperback book costs $5, including tax.Jamal bought 3 more
What is another name for a clean, surgical cut?
What type of move takes Figure A to Figure B?*
write .0045 into a scientific notation
Two cruise ships left the same port. After two hours, Ship A is 30 miles west and 18 miles north of the port and Ship B is 10 miles west and 27 miles south of t
write a fraction and a percent for the shaded portion of each one.
(x^4)^6= Simplify usiong the lawas of exponents pexplain if can
Most forest fires and wildfires are natural. They clear away debris, old brush, and dying trees, leaving heartier trees better able to grow. Certain trees, in f