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

What Is The Least Possible Degree Of The Polynomial Graphed Above class=

Sagot :

Using it's critical points, it is found that the least possible degree of the polynomial graphed above is 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]

At these critical points, the behavior of the function changes from increasing to decreasing or vice versa.

If a function has n critical points, the least possible degree is of n + 1.

From the changes in behavior of the graph, the function has critical points at:

  • [tex]x \approx -0.5[/tex].
  • [tex]x \approx 2[/tex]
  • [tex]x \approx 3.5[/tex]

The function has 3 critical points, hence the least possible degree of the polynomial graphed above is 4.

You can learn more about critical points at https://brainly.com/question/2256078

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