x15 Let f be the function given by f(x) = - x =31+ 240 Part A: Graph the function f using graphing technology. What is an appropriate horizontal scale and vertical scale for the viewing window? (5 points) Part B: Find ]'i";::f(x) ar explain why :i"[\\cf(x} does not exist for each of the values = 15, 16, and 17. Make sure to include reasoning using correct imit notation. (25 points) The amount of income tax, t, an individual owes is defined by piecewise function #(f) and is based on the individual's income, where i is taxable income in dollars. I 0.12i if 0. 37,000 Part A: Show that the function {1) is not continuous at 7 = 15,000. (10 points) Part B: Find the value of constant b that makes (i) continuous at 7 = 37,000. (20 points) @Ex-1? Let g be the function given by g(x)= . 6x +13x-5 Part A: Does the graph of g have a vertical asymptote? If so, write its equation and describe the behavior of the graph of g as it approaches the asymptote on either side. Show your work and make sure to use limit notation. (15 points) Part B: Does the graph of g have a horizontal asymptote? If so, write its equation and describe the end behavior of the graph of g. Show your work and make sure to use limit notation. (15 points) Part C: What is the range of g? Make sure to take any removable and/or non-removable discontinuities into account when finding the range of g. (10 points)