I am given a problem and I am asked to find the asymptotes after I have graphed it.

Here is the function:

f(x) = (e^x) +2

I am having trouble trying to figure out how it would become undefined along the y-axis. I thought that perhaps I should set the y equal to zero and subtract the 2 out and then take the natural log of both sides to drop the x out of the exponent area. That would give me a negative number to work out with the natural log. Unfortunately, I don't think this is the right way to go about it. I looked in the back of the sheet and the answer for a horizontal asymptote was given as y=2. I believe I may be making this more complicated than it needs to be.

Thanks for looking this over and I appreciate the help.