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can you explain that a picture please (Non-textbook) Exercise: Graph the following functions with all of its asymptotes and other discontinuities, as appropriate. Justify asymptotes

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can you explain that a picture please

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(Non-textbook) Exercise: Graph the following functions with all of its asymptotes and other discontinuities, as appropriate. Justify asymptotes by limit computations! a) y = *-4 y |24 -1 -15 -10 -5 0 5 10 15 X -1 -2 If you say that a function has a vertical asymptote x=a, state the value of and compute two one-sided limits: lim f(x) = x-a lim f(x) = x-a If you say that a function has horizontal asymptote, set-up and compute the limits at infinity lim f(x) = x - 1 00 If you say that there is a slant, confirm this by long-division. If you say that there is a point or a jump discontinuity at x=b, state the value of b and compute the appropriate limits.b) Repeat for the function y = x - 4 x - 2 24 1- -15 -10 -5 0 5 10 15 -1- -2

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