Tutorial 3 Math 1030 Landscaping Business Revenues The function below models the monthly revenue R(x) (in thousands of dollars) of a local landscaping business for the year 2013. 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. b) 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 title the graph. c) Find the R and x intercepts of this function and plot these points on the Cartesian Plane. d) State the practical domain in interval notation. e) Logically interpret the shape of the graph in this problem context. f) Express this function in piecewise-defined form on the practical domain. (Hint: First find the equations of the two lines on the graph in y = mx + b form. Then specify the practical domain of each line.)