A piecewise function g(x) is defined by g of x is equal to the piecewise function of x cubed minus 16 times x for x is less than 4 and negative log base 4 of the quantity x minus 3 end quantity plus 2 for x is greater than or equal to 4 Part A: Graph the piecewise function g(x) and determine the domain. (5 points)

Part B: Determine the x-intercepts of g(x). Show all necessary calculations. (5 points)

Part C: Describe the interval(s) in which the graph of g(x) is positive. (5 points)