ALGEBRA 2, 2012
30

 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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