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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 Silviu G
by
6.8k points

1 Answer

3 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. The maximum number of turns can be obtained as following:


n=4\\n-1=4-1=3

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


User Carroll
by
6.2k points
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