Consider the function f(x) = x log(x) a) Determine the domain of the function (what happens in x = 0?) b) Say at which points the function is continuous and at which points it is differentiable (derivative at x =0?) c) Compute the derivative and use it to determine the critical points of the function. Indicate whether they are local maxima or minima, or saddle points. d) Roughly sketch the graph of the function.