Find the slant asymptote, if any, of the graph of the rational function.
-$$f ( x ) = \frac { x ^ { 2 } + 16 } { x }$$
A) $y = x$
B) $y = x + 16$
C) $x = 0$
D) no slant asymptote

Question

Quizplus · Accepted Answer

To find the slant asymptote of the given rational function $f(x) = \frac{x^2 + 16}{x}$, we divide the numerator by the denominator. The division $x^2 + 16$ by $x$ gives $x + 0$ with a remainder of 16. The quotient $x$ represents the slant asymptote, which is $y = x$. Slant asymptotes occur when the degree of the numerator is exactly one more than the degree of the denominator.

Find the Slant Asymptote, If Any, of the Graph of the Rational