Construct an Equation of a Rational Function Whose Graph Has $x = - 3 , x = 3$

Multiple Choice

Construct an equation of a rational function whose graph has no roots, no holes, has vertical asymptotes at $x = - 3 , x = 3$ and a horizontal asymptote at $y = 2$ There are many possible answers, but choose the only correct answer from those that are provided below.

A) $f ( x ) = \frac { 2 x ^ { 2 } - 1 } { x ^ { 2 } - 9 }$
B) $f ( x ) = \frac { 2 x ^ { 2 } - 1 } { x ^ { 2 } + 9 }$
C) $f ( x ) = \frac { 2 x ^ { 2 } + 1 } { x ^ { 2 } - 9 }$
D) $f ( x ) = \frac { 2 x ^ { 2 } + 1 } { x ^ { 2 } - 3 }$