\
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The function is
.
The denominator of f is zero when
.
So, the domain of f is all real numbers except
.
The domain of f is all real numbers except
.
The function is
.
To find the y - intercept then x = 0.
\
(Write the original function)
(Substitute x = 0)
The y - intercept is
.
The y - intercept is
.
The function is
.
The degree of the numerator is less than the degree of denominator, so the line y = 0 is a horizontal asymptote.
To find any vertical asymptotes, set the denominator equal to zero and solve the resulting equation for x.
\
(Set denominator equal to zero)
(Simplify)
The line
is a vertical asymptotes of f(x) and the line
is a horizontal asymptotes of f(x).
The function is
.
The function,
graph is
=1_by_(x-3).gif\")