Step 1:

The function

First graph the parent function

Compare it to

where , so the graph of passes through , , .

Step 2:

First transformation is graph the function (Reflection about -axis)

The graph of passes through , and .

Step 3:

Next transformation is replace by

Step 4:

Final transformation of the function is shift up by two units.

Observe the graph the domain of is the interval

The range interval is

The horizontal asymptote of is the line .

Solution:

domain of is the interval

The range interval is

The horizontal asymptote of is the line .