You are given the following information about the function f(x): The domain of f(x) is all real numbers except for x = 4, 9. The limit of f(x) as x tends to positive or negative infinity is -1. The first derivative f'(x) equals 0 at x = -6, 1 and 7. The first and second derivatives do not exist at x = 4, 9 The table below lists information about the sign of the second derivative. x 9 f''(x) positive negative positive positive negative Use the given information to: a) State the equations of any vertical or horizontal asymptotes and justify your answers. b) State the intervals of concavity and the locations (x value) of any points of inflection and justify your answers. c) State the locations (x value) of any local maximum(s) and local minimum(s). Explain how you classified them as a maximum or a minimum. d) Draw a possible sketch of f(x). Label the key features from parts a) b) and c). It is up to you to locate the points at sensible y values so the graph makes sense