All these silly programmes! Save yourself the hassle and just grab graphmatica instead (it'll do inverse functions, derivatives, find zeros, integrate, relations, et cetera).
passes through (0,1)
e^x or y or f(x) is always >0 for all x (domains)
is always concave up (NOTE this is also used in parabolas)
x --> + inf. then y or e^x or f(x) --> + inf as well
x --> - inf. then y or e^x or f(x) would approach to --> 0! (ASYMPTOTES =)undefined