Situation A: The price, in dollars, of an item of interest in a shop can be modeled by h(x) given below. Input is measured in weeks with * =0 corresponding to the initial listing of the item. h(x) = 16+ (4 (x-3) / |x-3|) 1) Give the initial list price of the item. What is the price of the item after 2 weeks? After 8 weeks? 2) What is h(3) 3) Analyze the signs of x-3 for appropriate domain segments and give a simplified piecewise-defined function for the price of the particular item in the shop for x _>_0 4) What happened at 3 weeks after the initial listing? Give a plausible reason for this occurrence. 5) Sketch a labeled graph of h(x). Include axes labels and pay close attention to open/closed circles for domain inclusions/exclusions