SOLUTION: FIND THE EQUATIONS OF ANY HORIZONTAL ASYMPTOTES WITHOUT GRAPHING Y=E^X-8

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Question 110934: FIND THE EQUATIONS OF ANY HORIZONTAL ASYMPTOTES WITHOUT GRAPHING
Y=E^X-8
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
When x is a really large negative number (like -1,000,000) this means we get

e%5E%28-1000000%29=1%2Fe%5E1000000 which is a really small number. If you keep going, then e%5Ex will become small enough that will consider it to be zero. So the only thing left is the "-8". So the horizontal asymptote is y=-8

Notice if we graph y=e%5Ex-8, we get
+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+exp%28x%29-8%29+

and we can see that the horizontal asymptote is at y=-8