Subjects algebra

Vertical Asymptotes A695Fb

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1. The problem is to locate the vertical asymptotes of a function. 2. Vertical asymptotes occur where the function's denominator is zero and the numerator is not zero at those points. 3. To find vertical asymptotes, set the denominator equal to zero and solve for $x$. 4. Check that the numerator is not zero at those $x$ values to confirm vertical asymptotes. 5. Example: For $f(x) = \frac{1}{x-3}$, set denominator $x-3=0$ which gives $x=3$. 6. Since numerator $1 \neq 0$ at $x=3$, there is a vertical asymptote at $x=3$. 7. Without a specific function, this is the general method to locate vertical asymptotes.