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For the Following Rational Function, Identify the Coordinates of All f(x)=x2+x72x2x56f ( x ) = \frac { x ^ { 2 } + x - 72 } { x ^ { 2 } - x - 56 }

Question 226

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) =x2+x72x2x56f ( x ) = \frac { x ^ { 2 } + x - 72 } { x ^ { 2 } - x - 56 }
 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


A) removable discontinuity at (8,1715) \left(8, \frac{17}{15}\right)
x x -intercept: (9,0) ,y (-9,0) , \mathrm{y} -intercept: (0,97) \left(0, \frac{9}{7}\right)
asymptotes: x=7,y=1 \mathrm{x}=-7, \mathrm{y}=1
 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

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

C) noremovable discontinuity at (8,1715) \left(8,-\frac{17}{15}\right)
x x -intercept: (9,0) ,y (-9,0) , y -intercept: (0,97) \left(0, \frac{9}{7}\right)
asymptotes: x=7,y=1 x=-7, y=-1
 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
D) no removable discontinuities;
x x -intercept: (0,0) ;y (0,0) ; y -intercept (0,0) (0,0) ;
asymptotes: x=7,x=8,y=0 x=-7, x=8, y=0
 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

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