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And #1. Suppose that f is a function that is continuous except at x = 2, where it has a vertical asymptote. Suppose also that

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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) (sic1)2 f (x) T To reiterate. the above formula is the derivative of f, not f itselfl You don't need to take any derivatives for this problem because it is already donel (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)!)

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