The cost C (in millions of dollars) of removing x percent of the pollutants emitted from the smokestack of a factory can be modeled by 9x 100 (a) What is the implied domain of C? (Enter your answer using interval notation.) Explain your reasoning. It would be cost prohibitive to remove more than 80% of the pollutants. You cannot remove 0% of the pollutants. Negative x-values and values greater than 100 do not make sense in this context. Also, C(100) is undefined. Since we are removing pollutants, only negative x-values make sense in this context. The function is defined for all x-values except x = 100. (b) Use a graphing utility to graph the cost function. Is the function continuous on its domain? Explain your reasoning. C is not continuous on its domain because C has a removable discontinuity at x = 9. C is continuous on its domain because all rational functions are continuous on their domains. C is not continuous on its domain because C has a nonremovable discontinuity at x = -9. OC is continuous on its domain because C is a polynomial. C is not continuous on its domain because C is not a polynomial. (c) Find the cost of removing 70% of the pollutants from the smokestack. million