The function is .
Rewrite the above equation as .
First graph the parent function.
\Parent function of is
.
Compare to
.
Here .
where , so the graph of
passes through
,
,
.
Next graph the original function using transformation .
Graph of the original function shift the graph a distance units to the right and upward.
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.
\Observe the graph :
\Domain of the function is .
Range of the function is .
Horizontal asymptote of the function is .
Domain of the function is .
Range of the function is .
Horizontal asymptote of the function is .