A function g(x) is defined by [tex]g(x) = -log_{4} (x-3) + 2.[/tex]
Part A: Graph the logarithmic function g(x) and determine the domain, range, and x-intercepts. Show all necessary calculations. (5 points)

Part B: Determine the vertical and horizontal asymptotes of g(x). Show all necessary calculations. (5 points)

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