(a)
\The function is .
The parent function of the function is .
Domain of the the parent function is
, which means
.
Therefore,
\Domain of the function is
.
Range of the parent function is
.
Therefore, range of the function 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
and range is
.
(b) The intercept of the function
is
.
(c) Graph of the function is
.