Find the horizontal asymptote of f(x) = 2^-x +3. Help!?

1 Answer

Here it is.

Explanation:

The horizontal asymptote of any equation #g(x)=a^x# is the #x# axis or #y=0#.

By adding a constant #c# to get #g(x)+c#, the graph moves upwards by #c#, which in this case is #3#.

Thus, we get the horizontal asymptote to be #y=3#.

Here is the actual graph

graph{2^-x+3 [-10, 10, -5, 5]}