The function is .
.
First graph the parent function.
\Parent function of is
.
Compare to
.
Here .
where , so the graph of
passes through
,
and
.
Next graph the original function using transformation .
Graph of the original function is left shift by two units.
\The graph of passes through
,
and
.
Graph :
\1. Draw a coordinate plane.
\2. Plot the coordinate points.
\3. Then sketch the graph, connecting the points with a smooth curve.
\From the graph the domain of is the interval
.
The range interval is .
The horizontal asymptote of is the line
.
The domain of is the interval
.
The range interval is .
The horizontal asymptote of is the line
.