(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 0.
\(b)
\The function is
.
Rewrite the function as
.
Find the x - intercept by substituting y = 0 in
.

There is no real values exist.
\There is no x - intercept.
\Find the y - intercept by substituting x = 0 in
.

No y - intercept.
\(c)
\The function is
.
Since the degree of the numerator is greater than the degree of denominator, the line
is a slant asymptote.
Find the vertical asymptotes by equating the denominator to zero.
\
.
Thus, the line
is a vertical asymptotes of g(x) and the line
is a slant asymptotes of g(x).
(d)
\The function is
.
Draw a coordinate plane.
\Graph the function
.
Graph :
\=x%5E2+5_by_x.gif\")
(a)
\The domain of the function is all possible values of x except 0.
\(b)
\No intercepts
\(c)
\Vertical asymptote :
.
Slant asymptote :
.
(d)
\Graph of the function
is :
=x%5E2+5_by_x.gif\")