15. Consider this graph. 2 C -8 12 -16 y= x 48x2 -20 a) What is the domain of the function? b) Evaluate each limit. i) lim (x4 - 8x2) ii) lim (24 -8x2) X-+ 2 iii) lim (14 - 8x2) X -+ 2 c) Determine f(-2). d) Is the graph continuous at x = -2? Explain. e) Is the graph continuous at x = 0 and x = 2? Justify your answers. 16. City officials determine that the cost, C, in dollars, of purifying water can be represented by the function C(P) 60 000_ - 5000, where p is the percent of impurities remaining in the water after purification. a) State the domain of this function. b) Evaluate lim C(p). P-+0+ c) Interpret the meaning of your answer to part b). d) Graph the function. How does the graph support your result from part b)