Step 1:
\The function is .
Rewrite the function is
First graph the parent function of is
.
Compare with
, where
. where
, so the graph of
passes through
,
,
.
Step 2:
\Next graph the original function using transformation (Shift up one unit).
The graph of passes through
,
and
.
Graph:
\Graph the functions and
.
Draw the line segment for transformation line .
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
.