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drek231 [11]
3 years ago
15

What is the maximum number of turns for the graph of f(x)=x^4+3x^2?

History
2 answers:
ohaa [14]3 years ago
3 0

Answer:

The turns of a graph is represented by the number of maximum or minimum that the function has.

If we differenciate f(x) we get:

f'(x)=4x^3+6x

f'(x)=2x(2x^2 + 3)

Therefore f'(x) =0, when x=0. Given that negative roots are not defined.

Therefore, the number of turns will be given by the number of solutions of f'(x) which is 1.

Attached you find the graph of the function which confirms the number of turns.

If the function had other solutions, the maximum number of turns it could have is 3! because f'(x) is a third degree polynomial, therefore it can't have more than 3 solutions!

Kisachek [45]3 years ago
3 0

Answer: 3

Explanation:

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URGENT!! Who Worked with other leaders to annex lands and triple the size of Atlanta? William B Hartsfeild or Ivan Allen Jr?
natka813 [3]

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timurjin [86]

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Explanation:

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Ești un revoluționar francez si trebuie sa trimiți o scrisoare către prietenul tău despre revoluție​
Mama L [17]

if u know English put it in so i can answer da question because i don't know dis language  

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