Please help! What is the horizontal asymptote of y=2^x-5-7?
The horizontal asympote, in this case, is kind of like a lower boundary. Consider the expression 2^(x-5) . No matter what values you plug in the expression will never get to 0, it will only approach it. So you have this expression that never gets to zero and you are subtracting 7 from it, so the overall value will approach -7, but never quite get there. I hope this makes sense.