Write a symbolic representation of a rational function f that satisfies the conditions. 4) Vertical asymptote x = 3, horizontal asymptote y = 6 Determine any local or absolute extrema as indicated. 5) Use the graph of f to estimate the local extrema. Identify the extrema as either a maximum or a minimum and idicate if it is local or absolute.. Use synthetic division to divide the first polynomial by the second. 6) x 4- 3x3+x2+5x- 7 x - 1