Let f(x)= x e^(-x)

(a) determine the domain of the function f(x)

(b)Is f(x) an odd or even orneither

(c)determine any discontunity point for f(x)

(d)evaluate lim (x->infinity) f(x) and lim (x->-infinity) f(x)

e)find critical numbers and where the function is increasing or decreasing