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What is the maximum number of turns in the graph of this function? F(x)=x^4-x^3 3x 1

User Sam Hokin
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1 Answer

4 votes

Answer:

Maximum number of turns: 3


Explanation:

1. By definition, a polynomial of
n degree, has a maximum turning points of
n-1.

2. Therefore, if you have the polynomial given in the problem, which is a polynomial of degree 4 (
n=4, the maximum number of turns can be obtained as following:


n-1=4-1=3

3. Therefore, you can conclude that the maximum number of turns are 3.


User Rohland
by
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