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].
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
