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Brief Explanations:

For a rational function $y = \frac{f(x)}{g(x)}$, vertical asymptotes occur at the $x$-values that make the denominator $g(x)=0$ and the numerator $f(x)\neq0$. In general, for any function, we look for values of $x$ that cause the function to approach infinity or negative - infinity. These values of $x$ are the equations of the vertical asymptotes.

Answer:

For a rational function $y=\frac{f(x)}{g(x)}$, find the $x$-values where $g(x) = 0$ and $f(x)\neq0$. For other functions, look for $x$-values that make the function approach $\pm\infty$. These $x$-values give the equations of the vertical asymptotes.