Is there a faster way to graph expressions with 'e' in them? Whenever I graph them I have to put in a few x values manually into the expression to see what the graph looks like and then find the turning points

How do I find the asymptotes for these graphs? I'm having trouble with graphing y=x-e^x - Is the asymptote y=-1?

The other problem: one of the expressions is y=(e^x)/(x-1)

I've been taught that to find the asymptotes you divide everything by the highest x power in the denominator and anything when simplified is still over x is marked as a zero (something to do with limits)

What about (e^x)/x? Is it possible to simplify that?

Thanks!