(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
.