1. Sketch a graph of a single function f that satisfies each of the following. (Feel free to use the circles to check off each condition as you graph it, or you can check them off to double check your graph.) Of is continuous everywhere except at x = - 6, O lim f(x) = 3. x-- 1 x = - 1, x = 3, and x = 7. Of has an oscillating discontinuity at x = 3. O lim f(x) = - 2. x - - 1+ Of has a removable discontinuity at x = 7. Of (-1) = 0. O f has an infinite discontinuity at x = - 6 Of(1) = 0 Of has a jump discontinuity at x = - 1. lim f (x) = 1. x - -00 O lim f(x) does not exist, but lim f(x) = 2. x-3+" x -+ 3 - O lim f (x) = co x-+ 0o lim f(x) = 1. X - 7- O f (7) = 4. Draw a dashed line an label each asymptote O lim f(x) = co. x--6 O Label important points to avoid ambiguity i.e. label (1,0)