1. (01.09 HC) Let g be the function given by \"KPH. 6x2 +x2 Part A: Does the graph ofg have a vertical asymptote? If so, write ii: equation and describe the behavior of the graph ofg as it approaches the asymptote on either side. Show your work and make sure to use limit notation. (15 points) Part 3: Does the graph of 9 have a horizontal asymptote? If so, write its equation and describe the and behavior of the graph of 9. Show your work and make sure to use limit notation, (15 points) Part C: What is the range of 9? Make sure to take any removable and/or non-removable discontinuities into account when nding the range of g. (10 points) 2. (01.03 HC) x+12 Let fbe the function given by I(x)=2. x +25x+155 Part A: Graph the function Fusing graphing technology. What is an appropriate horizontal scale and vertical scale for the viewing window? (5 points) Part B: Find 2'27\"\") or explain why 32\"") does not exist for each of the values c = 12, 13, and 14. Make sure to include reasoning using correct limit notation. (25 poinm) 3. (01.08 HC) The amount of income tax, t, an individual owes is defined by piecewise function t() and is based on the individual's income, where i is taxable income in dollars. 0.15/ if 0 Sis 17,000 t(i) = 548+0.18(i-16000) if 17,000 42,000 Part A: Show that the function t() is not continuous at / = 17,000. (10 points) Part B: Find the value of constant b that makes t() continuous at / = 42,000. (20 points)