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

question 106

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

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