Question 1098878
f(x)=x*e^x
A)domain is all x
{{{graph(300,300,-5,2,-10,10,x*e^x)}}}
B)Horizontal asymptote is 0-, as x approaches -oo.  No vertical asymptotes.
C) derivative is x*e^x+e^x.  Set it equal to 0 and e^x(x+1)=0 and x=-1, stationary point at (-1, -e^(-1)) or (-1, -1/e).  
D) Inflection point is derivative of e^x*(x+1). This is e^x+(x+1)^e^x=e^x(x+2)
Set that equal to 0, and x=-2, so infection point is (-2, -2/e^2)
E) when y=0 x=0, so (0, 0) is y intercept and x intercept.
G. Range is (-1/e, +oo)
{{{graph(300,300,-5,2,-1,1,x*e^x)}}}