draw the graph of any rational function y = f(x) with the following characteristics: • f(6) = 1 • Holes at x = −1 and x = 1; • Vertical Asymptotes at x = 0 and x = 4, and nowhere else; 5 points • Horizontal Asymptote at y = 2; • Sign Chart (of y): +_|__-__|__-__|__+__|__-__|__+__ -3 0 1 2 4 Display and label all given information (do not mark anything else) on a clean neat diagram; draw only smooth curves (no straight-line bits, no sharp points); make sure to exhibit the correct behavior alongside the Asymptotes; don’t forget the holes.
