Chapter 1.6, Problem 37E

In Exercises 33–40, which of the following functions have the given property?

$\begin{array}{l}\text{I}\text{.}\text{y}\text{=}\frac{x^2-2}{x^2+2}\text{II}.\text{y}\text{=}\frac{x^2+2}{x^2-2}\\ \text{III}.y=(x-1)(1-x){(}^x\text{IV}\text{.}\text{y}\text{=}{x}^{\text{3}}-x\\ \text{V}\text{.}y=x-\frac{1}{x}\text{VI}\text{.}\text{y}\text{=}(x^2-2)(x^2+2)\end{array}$

Exactly one vertical asymptote.