And #1. Suppose that f is a function that is continuous except at x = 2, where it has a vertical asymptote. Suppose also that the rst derivative of f is given by , _ e"(x+4)(x1)Z f (x) - T To reiterate, the above formula is the derivative of f, not f itself! You don't need to take any derivatives for this problem because it is already done! (a) Determine all the critical numbers of f. (b) Determine the intervals where f is increasing and decreasing. (c) Decide whether f has a local max, local min, or neither at each critical number. (d) Sketch a possible graph of y = f(x). (Note that you do not need, and it is not recommended, to try to nd a formula for f (x)!)