For the Following Rational Function, Identify the Coordinates of All $$f ( x ) = \frac { x ^ { 2 } - 16 } { x - 4 }$$

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.
- $$f ( x ) = \frac { x ^ { 2 } - 16 } { x - 4 }$$

A) removable discontinuity at $( - 4 , - 8 )$ ;
no $x$ -intercepts, $y$ -intercept: $\left( 0 , - \frac { 1 } { 16 } \right)$
asymptotes: $y = 0$ and $x = 4$

B) removable discontinuity at $( 4,8 )$ ;
x-intercept: $( - 4,0 )$ , y-intercept: $( 0,4 )$ ;
no asymptotes

C) removable discontinuity at $( 4,8 )$ ;
no $x$ -intercepts, $y$ -intercept: $\left( 0 , \frac { 1 } { 16 } \right)$
asymptotes: $\mathrm { y } = 0$ and $\mathrm { x } = 4$

D) removable discontinuity at $( - 4 , - 8 )$ ;
no $x$ -intercept: $( 4,0 )$ , y-intercept: $( 0 , - 4 )$ ; asymptotes: $\mathrm { y } = 0$ and $\mathrm { x } = 4$
no asymptotes