For the Following Rational Function, Identify the Coordinates of All $$f ( x ) = \frac { 3 x ^ { 2 } - 4 x - 4 } { x - 2 }$$

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.
- $$f ( x ) = \frac { 3 x ^ { 2 } - 4 x - 4 } { x - 2 }$$

A) removable discontinuity at $( 2,8 )$ ;
$x$ -intercept: $\left( - \frac { 2 } { 3 } , 0 \right) , y$ -intercept: $( 0,2 ) ;$
no asymptotes

B) removable discontinuity at $( 2,0 )$ ;
x-intercept: $( 2,0 )$ , y-intercept: $( 0,2 )$ ;
no asymptotes


C) removable discontinuity at $( 2 , - 4 )$ ;
$x$ -intercept: $\left( \frac { 2 } { 3 } , 0 \right) , y$ -intercept: $( 0,2 )$ ;
no asymptotes


D) removable discontinuity at $( 2,4 )$ ;
$x$ -intercept: $\left( \frac { 2 } { 3 } , 0 \right) , y$ -intercept: $( 0,2 )$ ;
$x$ -intercept: $( - 2,0 ) , y$ -intercept: $( 0,2 )$ ;
no asymptotes