Give the equation of the slant asymptote, if any, of the function.
-$$( x ) = \frac { x ^ { 2 } + 5 x - 2 } { x - 7 }$$
A)y = x + 12
B)none
C)x = y + 12
D)y = x - 2

Question

Quizplus · Accepted Answer

To find the slant (oblique) asymptote of the given rational function, we divide the numerator by the denominator. The division $\frac{x^2 + 5x - 2}{x - 7}$ gives a quotient of $x + 12$ with a remainder. The quotient $x + 12$ represents the equation of the slant asymptote, which is $y = x + 12$.

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