Follow the seven step strategy to graph the following rational function.
\[
f(x)=\frac{x^{2}+4 x-45}{x^{2}-9}
\]
To graph the function, first determine the symmetry of the graph of \( \mathrm{f} \). Choose the correct answer below.
\( y \)-axis symmetry
origin symmetry
neither \( y \)-axis symmetry nor origin symmetry
What is the y-intercept? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The y-intercept is \( \square \)
(Type an integer or a simplified fraction.)
B. There is no y-intercept.
