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In this problem we will give a graph sketch of f(x) (x-2) = x+2x (a) Factor the numerator and denominator of f(x), find the

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In this problem we will give a graph sketch of f(x) (x-2) = x+2x (a) Factor the numerator and denominator of f(x), find the roots, leading term and asymptotes. (b) For each root and vertical asymptote from part (a), give the degree. (c) Determine the sign decomposition for f(x) (aka where f(x) is positive and negative). (d) Graph f(x). Include all roots and asymptotes.

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