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

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

A) no removable discontinuities;
no $x$ -intercept, no $y$ -intercept;
asymptotes $x = - 4 x = 0 , y = 0$

B) no removable discontinuities;
no $\mathrm { x }$ -intercept, no $\mathrm { y }$ -intercept;
asymptotes $x = 4 , x = 0 , y = 0$

C) removable discontinuity at $\left( 0 , \frac { 1 } { 4 } \right) ; \quad$
no $x$ -intercept, no $y$ -intercept;
asymptote $x = - 4$

D) removable discontinuity at $\left( 0 , - \frac { 1 } { 4 } \right) ;$
no $x$ -intercept, no $y$ -intercept;
asymptotes $x = 4 , y = 0$