(Non-textbook) Exercise: Graph the following functions with all of its asymptotes and other discontinuities, as appropriate. Justify asymptotes by limit computations! a) y = x -4 24 y -15 -10 -5 0 5 10 -1 -2V 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 3. 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. V