Given the following Case 2 rational function, rm = 2x2 + 10x - 12 x2 - x - 2 Identify the matching response for each of the following graph characteristics. Coordinates of y-intercept A. y = 2 Coordinates of x-intercept(s) B. -1 , 2 Equation(s) of the Vertical Asymptote(s) C. (-1 ,0) , (2,0) Equation of the Horizontal Asymptote D. (-6.0) , (1,0) E. 2 F. (0,6) G. x = -6 , x = 1 H. (0,-6) l. x=-1,x=2 Flefer to the Cost-Benefit Model in your text on pages 164-165. Match the meaning to the appropriate characteristic. - v After instituting the flu program, if zero percent of the population is given the vaccine the cost of the program will be ten million dollars. - v Population ranges from zero to one hundred percent. A. x-intercept B. Practical Domain C. Horizontal Asymptote D. Title of x axis E. Title of y axis F. y-intercept G. Vertical Asym ptote b) Identify the relevant characteristics of the function by completing the table below. Function in Expanded Form: Function in Factored Form: C (x) = C (x ) = C-intercept: x-intercept: Case: 2 Vertical Asymptote: Horizontal Asymptote: Plot the intercepts and asymptotes and correctly scale the given graph above. c) State the mathematical and practical domain in interval notation: d) In a few well-stated sentences, interpret the shape of the graph on the practical domain. Which asymptote is significant in this case? e) 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. Confirm your point with the graph above. 4x+1000 4(x+250) Answer. a) C(x) = 100-x 100-x b) C-int: (0, 10) x-int: (-250, 0) VA at 3- 100 , HA at y 4 c) Math. Domain: (-co, 100) u (100, +co) Practical Domain: [0, 100) 9% c) x 1000 59%Try This! Cost Benefit Model for Flu Inoculation The following Rational Function, C (x ) = x+1300 3 100-X describes the cost, C(x), in millions of dollars, to vaccinate x% of the Canadian population against a particularly virulent strain of flu. a) Simplify the right side of this function to one fraction, fully factored: The graph is given: C(x), Cost of Vaccination Program in $Millions C(x) x, % of the population vaccinated - Unit 3 Chapter 3: Page 164