For the Following Rational Function, Identify the Coordinates of All $$f ( x ) = \frac { x ^ { 2 } + x - 72 } { x ^ { 2 } - x - 56 }$$

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.
- $$f ( x ) = \frac { x ^ { 2 } + x - 72 } { x ^ { 2 } - x - 56 }$$

A) removable discontinuity at $\left(8, \frac{17}{15}\right)$
$x$ -intercept: $(-9,0) , \mathrm{y}$ -intercept: $\left(0, \frac{9}{7}\right)$
asymptotes: $\mathrm{x}=-7, \mathrm{y}=1$


B) no removable discontinuities;
$x$ -intercept: $(0,0) ; y$ -intercept $(0,0)$ ;
asymptotes: $x=-7, x=8, y=0$


C) noremovable discontinuity at $\left(8,-\frac{17}{15}\right)$
$x$ -intercept: $(-9,0) , y$ -intercept: $\left(0, \frac{9}{7}\right)$
asymptotes: $x=-7, y=-1$

D) no removable discontinuities;
$x$ -intercept: $(0,0) ; y$ -intercept $(0,0)$ ;
asymptotes: $x=-7, x=8, y=0$