What is the least possible degree of the polynomial graphed above?

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05-03-2022
Mathematics

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What is the least possible degree of the polynomial graphed above?

Sagot :

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joaobezerra joaobezerra · Answer 1 · 2022-03-18T05:40:28-04:00

Considering it's critical points, it is found that the least possible degree of the polynomial graphed above is of 4.

What are the critical points of a function?

The critical points of a function are the values of x for which:

[tex]f^{\prime}(x) = 0[/tex]

In a graph, they are the turning points, and if a function has n critical points, the least possible degree is of n + 1.

In this problem, the function has 3 turning points, at x = -3, between x = -3 and x = 3, and at x = 3, hence the least possible degree of the polynomial graphed above is of 4.

More can be learned about the critical points of a function at https://brainly.com/question/2256078

Sagot :

What are the critical points of a function?

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