Return to Assignments Exponential functions and graphs

### Assignment 3

Draw the graph of the function:

Calculate the intersection point with the -axis and the equation of the asymptote.

### Solution

The intersection point with the -axis can be found by substituting in the function. Then we find:

The asymptote of the function is the line (i.e. the -axis). The more negative , the more the graph approaches the -axis. We can verify this in the figure.