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Rational and modulus functions

Sets, relations and functions · Mathematics

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Q: Find domain and asymptotes of f(x) = 1/(x-2). Sketch g(x) = |x-3|. f: domain R - {2}. Vertical asymptote x = 2; horizontal asymptote y = 0. g(x) = |x-3|: V-shape with vertex at (3, 0); equals x-3 for x≥3, 3-x for x<3.

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