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Using it's critical points, it is found that the least possible degree of the polynomial graphed above is 4.
<h3>What are the critical points of a function?</h3>The critical points of a function are the values of x for which:
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:
.
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 brainly.com/question/2256078
F ( -3 ) = 6
f ( 4 ) = 27
Average rate of change:
f ( 4 ) = 27
Average rate of change: