(a)
\The function is
.
Domain of the function is all possible values of x.
\Since
is a rational function, the denominator should not be the zero.

Thus, the domain of the function is all possible values of x except 3.
\(b)
\The function is
.
Find the y - intercept by substituting x = 0 in
.

Thus, the y - intercept is
.
(c)
\The function is
.
Since the degree of the numerator is less than the degree of denominator, the line
is a horizontal asymptote.
Find the vertical asymptotes by equating the denominator to zero.
\
.
Thus, the line
is a vertical asymptotes of f(x) and the line
is a horizontal asymptotes of f(x).
(d)
\The function is
.
Draw a coordinate plane.
\Graph the function
.
Graph :
\=1_by_(x-3).gif\")
(a)
\The domain of the function is all possible values of x except 3.
\(b)
\The y - intercept is
.
(c)
\Vertical asymptote :
.
Horizontal asymptote :
.
(d)
\Graph of the function
is :
=1_by_(x-3).gif\")