Need ASAP fully worked out and in an original answer ! Thank you !!

Work all parts of this problem out on paper, and upload your answers with all work shown. When asked to give a reason for your answer, write in complete sentences. X g(x) -4 7 -2 2 0 1 2 k 4 7 2. Let g be a polynomial function. Selected values for g are shown in the table above, where k is a constant. (A) (i) Find the average rate of change of g over the interval -2 x 5 0. Show the work that leads to your answer. (ii) Find the value of k such that the average rate of change of g over the interval -4 S x S 2 equals -2. (B) (i) Explain why g could not be an odd function. (ii) If g is an even function, find the value of k. (C) (i) If k = 3, determine the least possible degree of g. Show the work that leads to your