Give the equation of the oblique asymptote, if any, of the function.
-$$f ( x ) = \frac { x ^ { 2 } + 2 x - 6 } { x - 4 }$$
A) no oblique asymptotes
B) $x = y + 6$
C) $y = x + 6$
D) $y = x - 2$

Question

Quizplus · Accepted Answer

The oblique asymptote is found by performing polynomial long division on the function. Dividing $x^2 + 2x - 6$ by $x - 4$ gives a quotient of $x + 6$, which is the equation of the oblique asymptote.

Give the Equation of the Oblique Asymptote, If Any, of the Function