Consider the following. C(x) = 4x + 3 x + 4 (a) State the domain of the function. all real numbers x except x = −4 all real numbers x except x = −3 all real numbers x except x = 3 all real numbers x all real numbers x except x = 4 (b) Identify all intercepts. (If an answer does not exist, enter DNE.) x-intercept (x, y) = y-intercept (x, y) = (c) Find any vertical and 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.