Question

What is the horizontal asymptote of the function f(x) = 3^(x-2) +1

Answer 1

If we have the following exponential function:

`f(x)=3^((x-2))+1`

And if we graph it using a graphing calculator as follows:

We can see that the exponential function has a horizontal asymptote for y = 1. It means that as the function tends to minus infinity, the value for the function tends to be equal to y = 1.

In summary, we can say that the horizontal asymptote of the function below is y = 1:

`f(x)=3^((x-2))+1`