The function below models the monthly revenue R(x) (in thousands of dollars) of a local landscaping business for the year 2019. The independent variable, x, corresponds to each month, with x = 1 representing January of that year. R(t)= 30-3 |2x - 12| The goal is to graph this function and analyze and interpret the graph in this problem context. a) What is the mathematical domain of this function? Express your answer in interval notation: By inspecting the function, describe the shape and orientation of the graph of this function. Explain your reasoning. b) Rewrite this function algebraically in transformation form: Construct the tables showing the mapping of three points (0,0), (-2,2), and (2,2) from the basic function: Sketch this function using the method of transformations. Your graph should be hand-drawn on graph paper, using no more than 1/3 of the page. Label the axes and clearly show the scale on the axes.