part d: (please give a thorough run-through of all the steps)

Consider the function f(x) = -3x (a) Find all horizontal asymptotes on the graph of f. Write each limit statement that corresponds to your conclusion. lim f(x) = - 0O X - -00 lim f(x) = 0 X -+ 00 What are the horizontal asymptotes? (Enter your answers as a comma-separated list of equations.) 1 = 0 y = 0 (b) Find the absolute maximum value of f. 1 3e (c) Find the x-coordinates for the points of inflection on the graph of f. (Enter your answers as a comma-separated list. ) X = (d) Let R be the region that is unbounded on the right but bounded elsewhere by the graph of f, the x-axis, and the vertical line x = 3. Find the area of R or enter co if the area is infinite. 10 8e -9 X 9-9