Question

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

Answer 1

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]}