Ay and dy in this case. 3) In each case below, sketch the graph of a function that has the given properties. You need not give a formula unless you feel like it. a) The function is continuous on all of R, has one local maximum, but has no absolute maximum on its domain. b) The function is continuous on R \\{1), has a discontinuity at x =1, and has an absolute maximum at x =1. c) The function is continuous on all of R, is differentiable on IR {3], has its absolute minimum at x =2, and has a local minimum at x =3