IDNLearn.com is your go-to resource for finding answers to any question you have. Join our community to receive prompt, thorough responses from knowledgeable experts.

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