Return to Assignments Exponential functions and graphs

### Assignment 6

Draw the graph of the function:

What is the formula of the asymptote?

### Solution

We can draw the graph of the function by calculating some characteristic points. First, the point . This is because the graph of has shifted by to the right.

For we find . We know that the graph will approach the -axis for increasing (the -axis is the asymptote), and thus we can draw the graph, see the figure.