Return to Assignments Exponential functions and graphs
Assignment 4
Draw the graph of the function:
What is the formula of the asymptote?
Solution
Here the base is less than 
and therefore the graph is the mirror of the graph of the function:
We can show this quite easily. We write:
This means that the graph is the mirror in the 
-axis of the graph of:
The asymptote is the 
-axis, i.e. 
, because the larger the value of 
the more the graph approaches the -axis. We can verify this in the figure.
