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.