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Consider the following. f ( x ) = _ X2 - 81 x- - 6x - 27 (a) State the domain of the function. O all real numbers x except x = -3, 9 O all real numbers x except x = -9, 3 O all real numbers x except x = 27 O all real numbers x except x = 3 O all real numbers x except x = -3 (b) Identify all intercepts. (If an answer does not exist, enter DNE.) x-intercept (x, y) = y-intercept (x, y) = (c) Find any vertical or horizontal asymptotes. (Enter your answers as a comma-separated list of equations. If there are no asymptotes, enter DNE.) (d) Plot additional solution points as needed to sketch the graph of the rational function. 20 y 20 4 20 20 10 10 10 -10 X 10 -20 JX -10 10 20 -20 -10 10 20 20 -10 -10 10 O -20 O -20 O O -20