Question

What is the domain and range in interval notation as well as the asymptote?

Answer 1

We want to find the domain, range and asymptote of

`y=3^(-x)+1`

The graph of this function is shown below

From the graph above

Domain: The domain is determined from the x-axis or x-values. From the graph, we can see that the graph if it continues to expand, it can accommodate an ifinitely number of x-values. Also any value of x imputed makes the function defined. Hence the answer is all real numbers

In interval notation Domain is

`(-\infty,\infty)`

Range is the y-values. From the graph, the y-values starts from 1 and go above.

In interval notation, range becomes