Answer :
The degree of the polynomial function modeled by the ordered pairs in this problem is given as follows:
2nd degree.
How to obtain the degree of a polynomial?
The degree of a polynomial is given by the sum of the multiplicities of the roots of the function.
The roots of a function are all the values of x for which f(x) = 0.
In this problem, the ordered pairs of the function are given as follows:
(-3, 82), (-2, 17), (-1,2), (0,1), (1, 2), (2, 17), (3, 82).
From these ordered pairs, we do not get any degree of the function. However, we can see that the function is decreasing until x = 0, and after that it increases, meaning that the function has critical value.
A critical value happens when the derivative of a function is zero. Thus, if the derivative of a function has one zero, it is of degree one, and the function is of the 2nd degree, as the derivative of a second degree function is a first degree function.
More can be learned about the degree of a function at https://brainly.com/question/30030938
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