For the Following Rational Function, Identify the Coordinates of All $$f ( x ) = \frac { \left( x ^ { 2 } - 9 \right) ( x + 5 ) } { \left( x ^ { 2 } - 25 \right) ( x + 3 ) }$$

Multiple Choice

For the following rational function, identify the coordinates of all removable discontinuities and sketch the graph. Identify all intercepts and find the equations of all asymptotes.
- $$f ( x ) = \frac { \left( x ^ { 2 } - 9 \right) ( x + 5 ) } { \left( x ^ { 2 } - 25 \right) ( x + 3 ) }$$

A) removable discontinuity at $( - 3,0 )$ ;
$x$ -intercept: $( - 3,0 ) , y$ -intercept: $\left( 0 , \frac { 3 } { 5 } \right)$
asymptotes: $x = - 5 , y = 1$


B) removable discontinuity at $( - 3 , - 3 )$ ;
$x$ -intercept: $( 3,0 ) , y$ -intercept: $\left( 0 , - \frac { 3 } { 5 } \right) ;$
asymptotes: $x = - 5 , y = 1$

C) removable discontinuities: $\left( - 5 , \frac { 4 } { 5 } \right) , \left( - 3 , \frac { 3 } { 4 } \right)$
$x$ -intercept: $( 3,0 ) , y$ -intercept: $\left( 0 , \frac { 3 } { 5 } \right)$
asymptotes: $x = 5 , y = 1$


D) removable discontinuities: $\left( - 5 , \frac { 1 } { 5 } \right) , ( - 3,0 )$ ; $x$ -intercept: $( - 3,0 ) , y$ -intercept: $\left( 0 , - \frac { 3 } { 5 } \right)$
asymptotes: $x = 5 , y = 1$