Answer:
Please find attached the graph of the following function;
Step-by-step explanation:
We note that the function is linear from x = 2 to just before x = 0
The linear relationship of the function f(x) with x changes just before x = 0
At x = 0, the value of f(x) is indicated as 1
From just after x = 0, the function is a straight horizontal line y = 3
The function also changes value immediately after x = 0 to the line y = 3
The areas where the function is defined are shown in continuous lines
Considering it's critical points, it is found that the least possible degree of the polynomial graphed above is of 4.
<h3>What are the critical points of a function?</h3>The critical points of a function are the values of x for which:
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
