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.
\.gif\")
From the graph the domain of
is the interval
.
The range interval is
.
The horizontal asymptote of
is the line
.
.gif\")
The domain of
is the interval
.
The range interval is
.
The horizontal asymptote of
is the line
.