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.
