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2. Sketch the graph of a function f that satisfies all of the fol- lowing conditions: lim f(x) = -2, lim f(x) = 0, lim
2. Sketch the graph of a function f that satisfies all of the fol- lowing conditions: lim f(x) = -2, lim f(x) = 0, lim f(x) = co, X- -00 X ->00 x- -3 lim f(x) = -co, lim f(x) = 2, x-3 x-3 f is continuous from the right at 3\f30. Let 2x - x2 if O 4 (a) For each of the numbers 2, 3, and 4, determine whether g is continuous from the left, continuous from the right, or continuous at the number. (b) Sketch the graph of g. 36. Find equations of the tangent lines to the curve 2 y = 1 - 3x at the points with x-coordinates 0 and - 1
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