Do the following for the function f described below. (a) Draw a possible sketch off that...

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Do the following for the function f described below. (a) Draw a possible sketch off that satisfies the following information. Assume that f is continuous except where implied. (b) Identify those values of x where f is discontinuous, and explain why. (c) Identify all the values of x for which f is continuous. Use interval notation. (d) Write the equation of each horizontal and vertical asymptote, and explain why f has each of these asymptotes. lim x f(x) = 4, f(-1) = 2, lim x-1-f(x) = 2, lim x1+ f(x) = 3 limx1 f(x) = -, f(3) = -2, limx3 f(x) = 2,, limx f(x) = Do the following for the function f described below. (a) Draw a possible sketch off that satisfies the following information. Assume that f is continuous except where implied. (b) Identify those values of x where f is discontinuous, and explain why. (c) Identify all the values of x for which f is continuous. Use interval notation. (d) Write the equation of each horizontal and vertical asymptote, and explain why f has each of these asymptotes. lim x f(x) = 4, f(-1) = 2, lim x-1-f(x) = 2, lim x1+ f(x) = 3 limx1 f(x) = -, f(3) = -2, limx3 f(x) = 2,, limx f(x) =