Identify the asymptotes.
-$$f ( x ) = \frac { 2 x ^ { 2 } + 7 } { x }$$
A) Vertical asymptote: $x = 2$;
B) Vertical asymptote: $x = 0$;
Slant asymptote: $y = 2 x + 7$
C) Vertical asymptote: $x = 0$;
D) Vertical asymptote: $x = 0$;
Slant asymptote: $y = 2 x$

Question

Quizplus · Accepted Answer

The vertical asymptote occurs where the denominator is zero, which is at $x = 0$. The slant asymptote is found by dividing the numerator by the denominator, resulting in $y = 2x$.

Identify the Asymptotes f(x)=2x2+7xf ( x ) = \frac { 2 x ^ { 2 } + 7 } { x }f(x)=x2x2+7​

Identify the Asymptotes $f ( x ) = \frac { 2 x ^ { 2 } + 7 } { x }$