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| PAGE: 574 | SET: Exercises | PROBLEM: 30 |
The function is 
.
This function represents a transformation of the graph of 
.
The transformation of function general form is 
.
Thus, here
, the graph is stretches vertically and reflected across the 
-axis.
, the graph is shifted 
units left.
, the graph is translated 
units down.
Graph:
Graph the function 
.
Observe the graph:
Domain is 
.
Range is 
.
Identify the asymptotes.
Identify the -values for 
is undefined.
is not defined for value of 
.
Thus, there is an asymptote at 
.
From , as a -values decrease, -values approach 
, and as -values increase, -values approach 
.
Thus there is an asymptote at 
.
Graph of the function is
The domain is 
and the range is .
The asymptote at 
.
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