(a)
\The function is
.
The function
is vertically shifted up by
-units of the parent function
.
Domain of the the parent function
is
and range is
.
Therefore, domain of the function
is also
and range is
.
(b)
\Consider the function as
.
Find the
intercept of the function by equating the
.

Property of natural logarithm:
.

The
intercept of the function
is
.
(c)
\Graph the function
:

(a) Domain of the function
is also
and range is
.
(b) The
intercept of the function
is
.
(c) Graph of the function
is
.