Question

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

Answer 1

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:

$f^{\prime}(x) = 0$

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 brainly.com/question/2256078