5. Consider the function g(x) = 2x4 - 16x3 + 20x2 - 7 on [-1,6]. Answer each of the following using our calculus techniques and showing all supporting work (credit will not be given for answers simply taken from a graph). a. (3 pts) Determine the intervals on which g (x) increases and decreases. . (3 pts) Determine the intervals on which g (x) is concave up and concave down. c. (2 pts) Determine all local and absolute extrema for g(x) on [-1,6]. d. (1 pts) Determine all points of inflection for g (x)