A function g(x) is defined by g(x) = −log4(x – 3) + 2. Part A: Graph the logarithmic function g(x) and determine the domain, range, and x-intercepts. Show all necessary calculations. Part B: Determine the vertical and horizontal asymptotes of g(x). Show all necessary calculations Part C: Describe the interval(s) in which the graph of g(x) is positive. Determine

A function g(x) is defined by g(x) = −log₄(x – 3) + 2.

Part A: Graph the logarithmic function g(x) and determine the domain, range, and x-intercepts. Show all necessary calculations.

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

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