1. For the given rational function find the (a) domain, (b) axis intercepts, and (c) equations of any asymptotes. If the function has any deleted points, find them.
(a) f(x) = 1/x-5
(b) f(x) = -2/x+3
(c) f(x) = 6x+3/5x-2
(d) f(x) = 8-3x/2x+1
(e) f(x) 3x2-3/2x2-x-15
(f) f(x) = 3x2-7x-40/x-4
(g) f(x) = 4x2+4x-35/x+8
2. Sketch the graph of the rational function. Your graph should include all asymptotes and intercepts.
(a) f(x) = 1/x+7
(b) f(x) = 3x-1/x-4