Tutorial 7 Math 0130 Flu Inoculation Program Cost Benefit Analysis A national flu inoculation program is initiated to combat a particularly virulent strain of flu. The following Rational Function, C(x) - * + 1300 100 - x - 3 describes the cost, C(x), in millions of dollars, to inoculate x% of the Canadian population against this strain of flu. The goal of this tutorial is to graph this function and analyze and interpret the graph within the problem context. Show the following steps on the blackboard or paper as your instructor directs: a) Simplify this function to one fraction, fully factored. Write only the simplified function on the board. b) Find the y-intercept by setting x to zero. Express your answer as a coordinate point. State the significance of this point in the problem context. c) Find the x-intercept of this function. Express your answer as a coordinate point. Why is the x- intercept of this function not relevant in this context? d) Find the equation of the vertical asymptote. State the mathematical domain of this function in interval notation. e) Determine whether this problem is case 1 or case 2 and then find the equation of the horizontal asymptote. f) Plot the graph of this function in the mathematical domain. Construct a sign chart below the Cartesian Plane. Identify all relevant information on the graph. Label and scale the axes and title the graph. g) Given the problem context, what is the practical domain? Express your answer in interval notation. h) Logically explain the shape of the graph in the practical domain. i) If the health ministry concludes that a 30 million dollar budget is available for this program, algebraically determine the percentage of the population that would be inoculated. Do you think this is a reasonable budget