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Sketch the graph of a function f that satisfies all 10 conditions below simultaneously. For th you do not need to prove or explain your

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Sketch the graph of a function f that satisfies all 10 conditions below simultaneously. For th you do not need to prove or explain your answer, as long as the graph is correct and very (a) The domain of f is R. (f) lim f (ac ) = -00 x-4 (b) lim f (x) does not exists when a E {-4, 2, 4}, and (g) lim [f (x)]2 = 4 the limit exists for all other a E R. x-2 (c) lim f(x) = 0 (h) lim f(f(x)) = 5 x-+0 (d) lim Lf (x) ] = 0 (i) lim f(x) = 2 x-+00 (e) lim f(x) = 00 (j) lim f (1 - ef(x) ) = 2 x-74

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