Find the Equation of the Slant Asymptote and the Vertical $r ( x ) = \frac { 2 x ^ { 2 } - 6 x - 7 } { x ^ { 2 } + 4 }$

question 58

Multiple Choice

Find the equation of the slant asymptote and the vertical asymptote, if any. $r ( x ) = \frac { 2 x ^ { 2 } - 6 x - 7 } { x ^ { 2 } + 4 }$

• A) \(y = \frac { 1 } { x - 4 } \text {, no vertical asymptote }\)
• B) \(y = 2 x + 2 , x = \pm 2\)
• C) \(x = 2 x + 2 , x = \pm 2\)
• D) \(y = 2 x - 2 , x = \pm 4\)
• E) \(\text { no slant asymptote, no vertical asymptote }\)

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