Let $f ( x ) = \frac { | x | } { x }$ The set of all vertical asymptotes of ƒ is

A) $\{ x = 0 \}$
B) $\{ x = 1 \}$
C) $\{ x = - 1 \}$
D) $\{ x = 0 , x = 1 \}$
E) $\varnothing$

Question

Let $f ( x ) = \frac { | x | } { x }$ The set of all vertical asymptotes of ƒ is

A) $\{ x = 0 \}$
B) $\{ x = 1 \}$
C) $\{ x = - 1 \}$
D) $\{ x = 0 , x = 1 \}$
E) $\varnothing$

Quizplus · Accepted Answer

The function $f(x) = \frac{|x|}{x}$ does not have any vertical asymptotes because it is defined for all $x \neq 0$, and at $x = 0$, the function is undefined, not approaching infinity.

Let f(x)=∣x∣xf ( x ) = \frac { | x | } { x }f(x)=x∣x∣​

Let $f ( x ) = \frac { | x | } { x }$