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Consider the function f (x) = It 2 (a) Find the domain of f (I). Note: Use the letter U for union. To enter co, type infinity. Domain: (b) Give the horizontal and vertical asymptotes of f (I), if any. Enter the equations for the asymptotes. If there is no horizontal or vertical asymptote, enter NA in the associated response area horizontal asymptote: vertical asymptote: (c) Give the intervals of increase and decrease of f (I). Note: Use the letter U for union. To enter oo, type infinity. If the function is never increasing or decreasing, enter NA in the associated response area. increasing: decreasing:Assume that z and y are both differentiable functions of t and are related by the equation y = Cos (61) Find dy when I = = -7 when I = dt 12 . given dt 12 Enter the exact answer. dy Number dt