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Landscaping Business Revenues QUESTION 4 The function below models the monthly revenue R(x) (in thousands of dollars) of a local landscaping From your Tutorial 3
Landscaping Business Revenues QUESTION 4 The function below models the monthly revenue R(x) (in thousands of dollars) of a local landscaping From your Tutorial 3 Worksheet: business for the year 2013. The independent variable, x, corresponds to each month, with x = 1 Consider the following new revenue function: representing January of that year. R(t) = 30 - 3 |2x - 12| N(x) =20-1x -51 The goal is to graph this function and analyze and interpret the graph in this problem context. Perform the transformation and state the month (as a word beginning with a capital letter) in which the revenue will be maximum: a) What is the mathematical domain of this function? Express your answer in interval notation. Similar to what you did in part f). now find the piecewise-defined form of this function. b) Sketch this function using the method of transformations. Your graph should be hand-drawn on The piecewise form will look like the expression given below. Find the integer values of a,b,c, and d and enter them in the spaces given. Carefully note the domain of each equation in the piecewise form. graph paper, using no more than 1/3 of the page. Label the axes and title the graph. N( x) = ax+b x25 c) Find the R and x intercepts of this function and plot these points on the Cartesian Plane. cx+ d x
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