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